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Finding the Fourth Proportional to 485,124.80, 727,687.20 and 343,407.20

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Solution

The fourth proportional to 485,124.80, 727,687.20 and 343,407.20 is: 515,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,124.80 : 727,687.20 = 343,407.20 : x
  2. Step 2: Convert to fraction form
    485,124.80/727,687.20 = 343,407.20/x
  3. Step 3: Cross multiply
    485,124.80x = 727,687.20 × 343,407.20
  4. Step 4: Simplify right side
    485,124.80x = 249,893,023,827.84
  5. Step 5: Solve for x
    x = 249,893,023,827.84/485,124.80
  6. Step 6: Final answer
    x = 515,110.80

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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.