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Finding the Fourth Proportional to 409,697.46, 614,125.26 and 156,918.60

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Solution

The fourth proportional to 409,697.46, 614,125.26 and 156,918.60 is: 235,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,697.46 : 614,125.26 = 156,918.60 : x
  2. Step 2: Convert to fraction form
    409,697.46/614,125.26 = 156,918.60/x
  3. Step 3: Cross multiply
    409,697.46x = 614,125.26 × 156,918.60
  4. Step 4: Simplify right side
    409,697.46x = 96,367,676,023.84
  5. Step 5: Solve for x
    x = 96,367,676,023.84/409,697.46
  6. Step 6: Final answer
    x = 235,216.68

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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.