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Finding the Fourth Proportional to 415,952.08, 574,014 and 234,702.44

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Solution

The fourth proportional to 415,952.08, 574,014 and 234,702.44 is: 323,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,952.08 : 574,014 = 234,702.44 : x
  2. Step 2: Convert to fraction form
    415,952.08/574,014 = 234,702.44/x
  3. Step 3: Cross multiply
    415,952.08x = 574,014 × 234,702.44
  4. Step 4: Simplify right side
    415,952.08x = 134,722,486,394.16
  5. Step 5: Solve for x
    x = 134,722,486,394.16/415,952.08
  6. Step 6: Final answer
    x = 323,889.44

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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.