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Finding the Fourth Proportional to 409,657.28, 614,063.64 and 156,868.76

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Solution

The fourth proportional to 409,657.28, 614,063.64 and 156,868.76 is: 235,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,657.28 : 614,063.64 = 156,868.76 : x
  2. Step 2: Convert to fraction form
    409,657.28/614,063.64 = 156,868.76/x
  3. Step 3: Cross multiply
    409,657.28x = 614,063.64 × 156,868.76
  4. Step 4: Simplify right side
    409,657.28x = 96,327,401,767.89
  5. Step 5: Solve for x
    x = 96,327,401,767.89/409,657.28
  6. Step 6: Final answer
    x = 235,141.44

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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.