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Finding the Fourth Proportional to 552,781.06, 827,842.85 and 315,404.10

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Solution

The fourth proportional to 552,781.06, 827,842.85 and 315,404.10 is: 472,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,781.06 : 827,842.85 = 315,404.10 : x
  2. Step 2: Convert to fraction form
    552,781.06/827,842.85 = 315,404.10/x
  3. Step 3: Cross multiply
    552,781.06x = 827,842.85 × 315,404.10
  4. Step 4: Simplify right side
    552,781.06x = 261,105,029,045.69
  5. Step 5: Solve for x
    x = 261,105,029,045.69/552,781.06
  6. Step 6: Final answer
    x = 472,348.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.