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Finding the Fourth Proportional to 498,123.54, 746,711.88 and 194,712.21

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Solution

The fourth proportional to 498,123.54, 746,711.88 and 194,712.21 is: 291,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,123.54 : 746,711.88 = 194,712.21 : x
  2. Step 2: Convert to fraction form
    498,123.54/746,711.88 = 194,712.21/x
  3. Step 3: Cross multiply
    498,123.54x = 746,711.88 × 194,712.21
  4. Step 4: Simplify right side
    498,123.54x = 145,393,920,388.06
  5. Step 5: Solve for x
    x = 145,393,920,388.06/498,123.54
  6. Step 6: Final answer
    x = 291,883.26

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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.