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Finding the Fourth Proportional to 463,310.70, 694,966.05 and 456,312.30

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Solution

The fourth proportional to 463,310.70, 694,966.05 and 456,312.30 is: 684,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,310.70 : 694,966.05 = 456,312.30 : x
  2. Step 2: Convert to fraction form
    463,310.70/694,966.05 = 456,312.30/x
  3. Step 3: Cross multiply
    463,310.70x = 694,966.05 × 456,312.30
  4. Step 4: Simplify right side
    463,310.70x = 317,121,556,697.42
  5. Step 5: Solve for x
    x = 317,121,556,697.42/463,310.70
  6. Step 6: Final answer
    x = 684,468.45

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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.