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Finding the Fourth Proportional to 497,730.90, 746,596.35 and 182,414.10

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Solution

The fourth proportional to 497,730.90, 746,596.35 and 182,414.10 is: 273,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,730.90 : 746,596.35 = 182,414.10 : x
  2. Step 2: Convert to fraction form
    497,730.90/746,596.35 = 182,414.10/x
  3. Step 3: Cross multiply
    497,730.90x = 746,596.35 × 182,414.10
  4. Step 4: Simplify right side
    497,730.90x = 136,189,701,248.54
  5. Step 5: Solve for x
    x = 136,189,701,248.54/497,730.90
  6. Step 6: Final answer
    x = 273,621.15

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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.