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Finding the Fourth Proportional to 363,007.60, 543,733.80 and 293,023.60

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Solution

The fourth proportional to 363,007.60, 543,733.80 and 293,023.60 is: 438,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,007.60 : 543,733.80 = 293,023.60 : x
  2. Step 2: Convert to fraction form
    363,007.60/543,733.80 = 293,023.60/x
  3. Step 3: Cross multiply
    363,007.60x = 543,733.80 × 293,023.60
  4. Step 4: Simplify right side
    363,007.60x = 159,326,835,517.68
  5. Step 5: Solve for x
    x = 159,326,835,517.68/363,007.60
  6. Step 6: Final answer
    x = 438,907.71

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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.