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Finding the Fourth Proportional to 542,468.30, 813,702.37 and 182,608.93

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Solution

The fourth proportional to 542,468.30, 813,702.37 and 182,608.93 is: 273,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,468.30 : 813,702.37 = 182,608.93 : x
  2. Step 2: Convert to fraction form
    542,468.30/813,702.37 = 182,608.93/x
  3. Step 3: Cross multiply
    542,468.30x = 813,702.37 × 182,608.93
  4. Step 4: Simplify right side
    542,468.30x = 148,589,319,124.16
  5. Step 5: Solve for x
    x = 148,589,319,124.16/542,468.30
  6. Step 6: Final answer
    x = 273,913.37

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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.