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Finding the Fourth Proportional to 292,550.48, 438,840.76 and 82,204.82

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Solution

The fourth proportional to 292,550.48, 438,840.76 and 82,204.82 is: 123,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,550.48 : 438,840.76 = 82,204.82 : x
  2. Step 2: Convert to fraction form
    292,550.48/438,840.76 = 82,204.82/x
  3. Step 3: Cross multiply
    292,550.48x = 438,840.76 × 82,204.82
  4. Step 4: Simplify right side
    292,550.48x = 36,074,825,684.46
  5. Step 5: Solve for x
    x = 36,074,825,684.46/292,550.48
  6. Step 6: Final answer
    x = 123,311.46

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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.