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Finding the Fourth Proportional to 498,702.47, 748,127.52 and 183,134.77

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Solution

The fourth proportional to 498,702.47, 748,127.52 and 183,134.77 is: 274,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,702.47 : 748,127.52 = 183,134.77 : x
  2. Step 2: Convert to fraction form
    498,702.47/748,127.52 = 183,134.77/x
  3. Step 3: Cross multiply
    498,702.47x = 748,127.52 × 183,134.77
  4. Step 4: Simplify right side
    498,702.47x = 137,008,159,435.55
  5. Step 5: Solve for x
    x = 137,008,159,435.55/498,702.47
  6. Step 6: Final answer
    x = 274,729.26

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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.