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Finding the Fourth Proportional to 409,591.50, 614,490.96 and 114,103.50

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Solution

The fourth proportional to 409,591.50, 614,490.96 and 114,103.50 is: 171,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,591.50 : 614,490.96 = 114,103.50 : x
  2. Step 2: Convert to fraction form
    409,591.50/614,490.96 = 114,103.50/x
  3. Step 3: Cross multiply
    409,591.50x = 614,490.96 × 114,103.50
  4. Step 4: Simplify right side
    409,591.50x = 70,115,569,254.36
  5. Step 5: Solve for x
    x = 70,115,569,254.36/409,591.50
  6. Step 6: Final answer
    x = 171,184.14

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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.