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Finding the Fourth Proportional to 292,708.94, 439,063.41 and 82,346.78

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Solution

The fourth proportional to 292,708.94, 439,063.41 and 82,346.78 is: 123,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,708.94 : 439,063.41 = 82,346.78 : x
  2. Step 2: Convert to fraction form
    292,708.94/439,063.41 = 82,346.78/x
  3. Step 3: Cross multiply
    292,708.94x = 439,063.41 × 82,346.78
  4. Step 4: Simplify right side
    292,708.94x = 36,155,458,029.32
  5. Step 5: Solve for x
    x = 36,155,458,029.32/292,708.94
  6. Step 6: Final answer
    x = 123,520.17

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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.