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Finding the Fourth Proportional to 415,945.32, 574,010.10 and 234,656.70

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Solution

The fourth proportional to 415,945.32, 574,010.10 and 234,656.70 is: 323,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,945.32 : 574,010.10 = 234,656.70 : x
  2. Step 2: Convert to fraction form
    415,945.32/574,010.10 = 234,656.70/x
  3. Step 3: Cross multiply
    415,945.32x = 574,010.10 × 234,656.70
  4. Step 4: Simplify right side
    415,945.32x = 134,695,315,832.67
  5. Step 5: Solve for x
    x = 134,695,315,832.67/415,945.32
  6. Step 6: Final answer
    x = 323,829.38

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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.