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Finding the Fourth Proportional to 653,549.41, 901,792.14 and 408,505.17

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Solution

The fourth proportional to 653,549.41, 901,792.14 and 408,505.17 is: 563,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,549.41 : 901,792.14 = 408,505.17 : x
  2. Step 2: Convert to fraction form
    653,549.41/901,792.14 = 408,505.17/x
  3. Step 3: Cross multiply
    653,549.41x = 901,792.14 × 408,505.17
  4. Step 4: Simplify right side
    653,549.41x = 368,386,753,305.19
  5. Step 5: Solve for x
    x = 368,386,753,305.19/653,549.41
  6. Step 6: Final answer
    x = 563,670.85

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Why These Related Problems?

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