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Finding the Fourth Proportional to 550,952.56, 824,657.12 and 284,349.92

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Solution

The fourth proportional to 550,952.56, 824,657.12 and 284,349.92 is: 425,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,952.56 : 824,657.12 = 284,349.92 : x
  2. Step 2: Convert to fraction form
    550,952.56/824,657.12 = 284,349.92/x
  3. Step 3: Cross multiply
    550,952.56x = 824,657.12 × 284,349.92
  4. Step 4: Simplify right side
    550,952.56x = 234,491,186,099.43
  5. Step 5: Solve for x
    x = 234,491,186,099.43/550,952.56
  6. Step 6: Final answer
    x = 425,610.48

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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.