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Finding the Fourth Proportional to 415,189.08, 572,962.68 and 233,903.18

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Solution

The fourth proportional to 415,189.08, 572,962.68 and 233,903.18 is: 322,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,189.08 : 572,962.68 = 233,903.18 : x
  2. Step 2: Convert to fraction form
    415,189.08/572,962.68 = 233,903.18/x
  3. Step 3: Cross multiply
    415,189.08x = 572,962.68 × 233,903.18
  4. Step 4: Simplify right side
    415,189.08x = 134,017,794,305.73
  5. Step 5: Solve for x
    x = 134,017,794,305.73/415,189.08
  6. Step 6: Final answer
    x = 322,787.38

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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.