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Finding the Fourth Proportional to 552,188.80, 827,116.80 and 458,876.80

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Solution

The fourth proportional to 552,188.80, 827,116.80 and 458,876.80 is: 687,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,188.80 : 827,116.80 = 458,876.80 : x
  2. Step 2: Convert to fraction form
    552,188.80/827,116.80 = 458,876.80/x
  3. Step 3: Cross multiply
    552,188.80x = 827,116.80 × 458,876.80
  4. Step 4: Simplify right side
    552,188.80x = 379,544,710,410.24
  5. Step 5: Solve for x
    x = 379,544,710,410.24/552,188.80
  6. Step 6: Final answer
    x = 687,345.90

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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.