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Finding the Fourth Proportional to 463,200.30, 694,800.45 and 432,096.30

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Solution

The fourth proportional to 463,200.30, 694,800.45 and 432,096.30 is: 648,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,200.30 : 694,800.45 = 432,096.30 : x
  2. Step 2: Convert to fraction form
    463,200.30/694,800.45 = 432,096.30/x
  3. Step 3: Cross multiply
    463,200.30x = 694,800.45 × 432,096.30
  4. Step 4: Simplify right side
    463,200.30x = 300,220,703,683.34
  5. Step 5: Solve for x
    x = 300,220,703,683.34/463,200.30
  6. Step 6: Final answer
    x = 648,144.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.