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Finding the Fourth Proportional to 415,712.63, 573,642.84 and 241,255.71

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Solution

The fourth proportional to 415,712.63, 573,642.84 and 241,255.71 is: 332,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,712.63 : 573,642.84 = 241,255.71 : x
  2. Step 2: Convert to fraction form
    415,712.63/573,642.84 = 241,255.71/x
  3. Step 3: Cross multiply
    415,712.63x = 573,642.84 × 241,255.71
  4. Step 4: Simplify right side
    415,712.63x = 138,394,607,782.40
  5. Step 5: Solve for x
    x = 138,394,607,782.40/415,712.63
  6. Step 6: Final answer
    x = 332,909.32

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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.