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Finding the Fourth Proportional to 497,615.40, 746,423.10 and 182,104.20

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Solution

The fourth proportional to 497,615.40, 746,423.10 and 182,104.20 is: 273,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,615.40 : 746,423.10 = 182,104.20 : x
  2. Step 2: Convert to fraction form
    497,615.40/746,423.10 = 182,104.20/x
  3. Step 3: Cross multiply
    497,615.40x = 746,423.10 × 182,104.20
  4. Step 4: Simplify right side
    497,615.40x = 135,926,781,487.02
  5. Step 5: Solve for x
    x = 135,926,781,487.02/497,615.40
  6. Step 6: Final answer
    x = 273,156.30

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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.