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Finding the Fourth Proportional to 382,724.70, 527,931.99 and 297,707.10

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Solution

The fourth proportional to 382,724.70, 527,931.99 and 297,707.10 is: 410,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,724.70 : 527,931.99 = 297,707.10 : x
  2. Step 2: Convert to fraction form
    382,724.70/527,931.99 = 297,707.10/x
  3. Step 3: Cross multiply
    382,724.70x = 527,931.99 × 297,707.10
  4. Step 4: Simplify right side
    382,724.70x = 157,169,101,740.13
  5. Step 5: Solve for x
    x = 157,169,101,740.13/382,724.70
  6. Step 6: Final answer
    x = 410,658.37

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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.