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Finding the Fourth Proportional to 534,382.53, 802,113.92 and 473,988.78

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Solution

The fourth proportional to 534,382.53, 802,113.92 and 473,988.78 is: 711,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,382.53 : 802,113.92 = 473,988.78 : x
  2. Step 2: Convert to fraction form
    534,382.53/802,113.92 = 473,988.78/x
  3. Step 3: Cross multiply
    534,382.53x = 802,113.92 × 473,988.78
  4. Step 4: Simplify right side
    534,382.53x = 380,192,998,361.82
  5. Step 5: Solve for x
    x = 380,192,998,361.82/534,382.53
  6. Step 6: Final answer
    x = 711,462.25

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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.