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Finding the Fourth Proportional to 534,734.10, 802,101.15 and 429,758.10

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Solution

The fourth proportional to 534,734.10, 802,101.15 and 429,758.10 is: 644,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,734.10 : 802,101.15 = 429,758.10 : x
  2. Step 2: Convert to fraction form
    534,734.10/802,101.15 = 429,758.10/x
  3. Step 3: Cross multiply
    534,734.10x = 802,101.15 × 429,758.10
  4. Step 4: Simplify right side
    534,734.10x = 344,709,466,231.82
  5. Step 5: Solve for x
    x = 344,709,466,231.82/534,734.10
  6. Step 6: Final answer
    x = 644,637.15

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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.