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Finding the Fourth Proportional to 542,668.60, 814,002.90 and 462,489.40

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Solution

The fourth proportional to 542,668.60, 814,002.90 and 462,489.40 is: 693,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,668.60 : 814,002.90 = 462,489.40 : x
  2. Step 2: Convert to fraction form
    542,668.60/814,002.90 = 462,489.40/x
  3. Step 3: Cross multiply
    542,668.60x = 814,002.90 × 462,489.40
  4. Step 4: Simplify right side
    542,668.60x = 376,467,712,819.26
  5. Step 5: Solve for x
    x = 376,467,712,819.26/542,668.60
  6. Step 6: Final answer
    x = 693,734.10

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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.