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Finding the Fourth Proportional to 550,902.60, 824,582.16 and 284,299.92

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Solution

The fourth proportional to 550,902.60, 824,582.16 and 284,299.92 is: 425,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,902.60 : 824,582.16 = 284,299.92 : x
  2. Step 2: Convert to fraction form
    550,902.60/824,582.16 = 284,299.92/x
  3. Step 3: Cross multiply
    550,902.60x = 824,582.16 × 284,299.92
  4. Step 4: Simplify right side
    550,902.60x = 234,428,642,121.43
  5. Step 5: Solve for x
    x = 234,428,642,121.43/550,902.60
  6. Step 6: Final answer
    x = 425,535.55

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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.