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Finding the Fourth Proportional to 413,854.98, 571,119.30 and 241,891.20

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Solution

The fourth proportional to 413,854.98, 571,119.30 and 241,891.20 is: 333,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,854.98 : 571,119.30 = 241,891.20 : x
  2. Step 2: Convert to fraction form
    413,854.98/571,119.30 = 241,891.20/x
  3. Step 3: Cross multiply
    413,854.98x = 571,119.30 × 241,891.20
  4. Step 4: Simplify right side
    413,854.98x = 138,148,732,820.16
  5. Step 5: Solve for x
    x = 138,148,732,820.16/413,854.98
  6. Step 6: Final answer
    x = 333,809.52

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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.