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Finding the Fourth Proportional to 360,789.85, 497,942.79 and 207,798.62

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Solution

The fourth proportional to 360,789.85, 497,942.79 and 207,798.62 is: 286,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,789.85 : 497,942.79 = 207,798.62 : x
  2. Step 2: Convert to fraction form
    360,789.85/497,942.79 = 207,798.62/x
  3. Step 3: Cross multiply
    360,789.85x = 497,942.79 × 207,798.62
  4. Step 4: Simplify right side
    360,789.85x = 103,471,822,500.86
  5. Step 5: Solve for x
    x = 103,471,822,500.86/360,789.85
  6. Step 6: Final answer
    x = 286,792.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.