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Finding the Fourth Proportional to 552,780.06, 827,841.35 and 315,403.10

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Solution

The fourth proportional to 552,780.06, 827,841.35 and 315,403.10 is: 472,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,780.06 : 827,841.35 = 315,403.10 : x
  2. Step 2: Convert to fraction form
    552,780.06/827,841.35 = 315,403.10/x
  3. Step 3: Cross multiply
    552,780.06x = 827,841.35 × 315,403.10
  4. Step 4: Simplify right side
    552,780.06x = 261,103,728,098.19
  5. Step 5: Solve for x
    x = 261,103,728,098.19/552,780.06
  6. Step 6: Final answer
    x = 472,346.50

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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.