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Finding the Fourth Proportional to 713,694, 984,897.72 and 395,742

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Solution

The fourth proportional to 713,694, 984,897.72 and 395,742 is: 546,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,694 : 984,897.72 = 395,742 : x
  2. Step 2: Convert to fraction form
    713,694/984,897.72 = 395,742/x
  3. Step 3: Cross multiply
    713,694x = 984,897.72 × 395,742
  4. Step 4: Simplify right side
    713,694x = 389,765,393,508.24
  5. Step 5: Solve for x
    x = 389,765,393,508.24/713,694
  6. Step 6: Final answer
    x = 546,123.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.