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Finding the Fourth Proportional to 415,204.58, 572,863.80 and 233,853.14

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Solution

The fourth proportional to 415,204.58, 572,863.80 and 233,853.14 is: 322,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,204.58 : 572,863.80 = 233,853.14 : x
  2. Step 2: Convert to fraction form
    415,204.58/572,863.80 = 233,853.14/x
  3. Step 3: Cross multiply
    415,204.58x = 572,863.80 × 233,853.14
  4. Step 4: Simplify right side
    415,204.58x = 133,965,998,422.33
  5. Step 5: Solve for x
    x = 133,965,998,422.33/415,204.58
  6. Step 6: Final answer
    x = 322,650.58

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1.5x scale

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.