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Finding the Fourth Proportional to 465,158.60, 642,002.46 and 274,160.60

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Solution

The fourth proportional to 465,158.60, 642,002.46 and 274,160.60 is: 378,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,158.60 : 642,002.46 = 274,160.60 : x
  2. Step 2: Convert to fraction form
    465,158.60/642,002.46 = 274,160.60/x
  3. Step 3: Cross multiply
    465,158.60x = 642,002.46 × 274,160.60
  4. Step 4: Simplify right side
    465,158.60x = 176,011,779,635.08
  5. Step 5: Solve for x
    x = 176,011,779,635.08/465,158.60
  6. Step 6: Final answer
    x = 378,390.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.