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Finding the Fourth Proportional to 488,714.13, 733,043.79 and 133,702.02

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Solution

The fourth proportional to 488,714.13, 733,043.79 and 133,702.02 is: 200,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,714.13 : 733,043.79 = 133,702.02 : x
  2. Step 2: Convert to fraction form
    488,714.13/733,043.79 = 133,702.02/x
  3. Step 3: Cross multiply
    488,714.13x = 733,043.79 × 133,702.02
  4. Step 4: Simplify right side
    488,714.13x = 98,009,435,471.46
  5. Step 5: Solve for x
    x = 98,009,435,471.46/488,714.13
  6. Step 6: Final answer
    x = 200,545.53

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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.