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Finding the Fourth Proportional to 409,659.66, 614,356.52 and 156,926.70

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Solution

The fourth proportional to 409,659.66, 614,356.52 and 156,926.70 is: 235,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.66 : 614,356.52 = 156,926.70 : x
  2. Step 2: Convert to fraction form
    409,659.66/614,356.52 = 156,926.70/x
  3. Step 3: Cross multiply
    409,659.66x = 614,356.52 × 156,926.70
  4. Step 4: Simplify right side
    409,659.66x = 96,408,940,522.45
  5. Step 5: Solve for x
    x = 96,408,940,522.45/409,659.66
  6. Step 6: Final answer
    x = 235,339.11

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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.