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Finding the Fourth Proportional to 432,914.20, 649,371.30 and 432,914.20

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Solution

The fourth proportional to 432,914.20, 649,371.30 and 432,914.20 is: 649,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,914.20 : 649,371.30 = 432,914.20 : x
  2. Step 2: Convert to fraction form
    432,914.20/649,371.30 = 432,914.20/x
  3. Step 3: Cross multiply
    432,914.20x = 649,371.30 × 432,914.20
  4. Step 4: Simplify right side
    432,914.20x = 281,122,056,842.46
  5. Step 5: Solve for x
    x = 281,122,056,842.46/432,914.20
  6. Step 6: Final answer
    x = 649,371.30

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Double scale
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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.