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Finding the Fourth Proportional to 413,878.77, 571,164.17 and 232,607.25

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Solution

The fourth proportional to 413,878.77, 571,164.17 and 232,607.25 is: 321,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,878.77 : 571,164.17 = 232,607.25 : x
  2. Step 2: Convert to fraction form
    413,878.77/571,164.17 = 232,607.25/x
  3. Step 3: Cross multiply
    413,878.77x = 571,164.17 × 232,607.25
  4. Step 4: Simplify right side
    413,878.77x = 132,856,926,882.23
  5. Step 5: Solve for x
    x = 132,856,926,882.23/413,878.77
  6. Step 6: Final answer
    x = 321,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.