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Finding the Fourth Proportional to 416,252, 624,356.08 and 116,753.28

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Solution

The fourth proportional to 416,252, 624,356.08 and 116,753.28 is: 175,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,252 : 624,356.08 = 116,753.28 : x
  2. Step 2: Convert to fraction form
    416,252/624,356.08 = 116,753.28/x
  3. Step 3: Cross multiply
    416,252x = 624,356.08 × 116,753.28
  4. Step 4: Simplify right side
    416,252x = 72,895,620,227.94
  5. Step 5: Solve for x
    x = 72,895,620,227.94/416,252
  6. Step 6: Final answer
    x = 175,123.77

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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.