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Finding the Fourth Proportional to 415,616.38, 573,539.13 and 234,326.72

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Solution

The fourth proportional to 415,616.38, 573,539.13 and 234,326.72 is: 323,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,616.38 : 573,539.13 = 234,326.72 : x
  2. Step 2: Convert to fraction form
    415,616.38/573,539.13 = 234,326.72/x
  3. Step 3: Cross multiply
    415,616.38x = 573,539.13 × 234,326.72
  4. Step 4: Simplify right side
    415,616.38x = 134,395,544,558.40
  5. Step 5: Solve for x
    x = 134,395,544,558.40/415,616.38
  6. Step 6: Final answer
    x = 323,364.41

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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.