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Finding the Fourth Proportional to 413,176.68, 619,715.88 and 113,687.82

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Solution

The fourth proportional to 413,176.68, 619,715.88 and 113,687.82 is: 170,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,176.68 : 619,715.88 = 113,687.82 : x
  2. Step 2: Convert to fraction form
    413,176.68/619,715.88 = 113,687.82/x
  3. Step 3: Cross multiply
    413,176.68x = 619,715.88 × 113,687.82
  4. Step 4: Simplify right side
    413,176.68x = 70,454,147,416.58
  5. Step 5: Solve for x
    x = 70,454,147,416.58/413,176.68
  6. Step 6: Final answer
    x = 170,518.21

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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.