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Finding the Fourth Proportional to 413,250.84, 619,854.24 and 132,746.16

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Solution

The fourth proportional to 413,250.84, 619,854.24 and 132,746.16 is: 199,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,250.84 : 619,854.24 = 132,746.16 : x
  2. Step 2: Convert to fraction form
    413,250.84/619,854.24 = 132,746.16/x
  3. Step 3: Cross multiply
    413,250.84x = 619,854.24 × 132,746.16
  4. Step 4: Simplify right side
    413,250.84x = 82,283,270,119.72
  5. Step 5: Solve for x
    x = 82,283,270,119.72/413,250.84
  6. Step 6: Final answer
    x = 199,112.17

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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.