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Finding the Fourth Proportional to 413,159.87, 619,742.54 and 113,672.09

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Solution

The fourth proportional to 413,159.87, 619,742.54 and 113,672.09 is: 170,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,159.87 : 619,742.54 = 113,672.09 : x
  2. Step 2: Convert to fraction form
    413,159.87/619,742.54 = 113,672.09/x
  3. Step 3: Cross multiply
    413,159.87x = 619,742.54 × 113,672.09
  4. Step 4: Simplify right side
    413,159.87x = 70,447,431,617.25
  5. Step 5: Solve for x
    x = 70,447,431,617.25/413,159.87
  6. Step 6: Final answer
    x = 170,508.89

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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.