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Finding the Fourth Proportional to 409,795.90, 614,343.18 and 157,257.61

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Solution

The fourth proportional to 409,795.90, 614,343.18 and 157,257.61 is: 235,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,795.90 : 614,343.18 = 157,257.61 : x
  2. Step 2: Convert to fraction form
    409,795.90/614,343.18 = 157,257.61/x
  3. Step 3: Cross multiply
    409,795.90x = 614,343.18 × 157,257.61
  4. Step 4: Simplify right side
    409,795.90x = 96,610,140,206.60
  5. Step 5: Solve for x
    x = 96,610,140,206.60/409,795.90
  6. Step 6: Final answer
    x = 235,751.85

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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.