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Finding the Fourth Proportional to 292,651.67, 438,977.66 and 82,289.61

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Solution

The fourth proportional to 292,651.67, 438,977.66 and 82,289.61 is: 123,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,651.67 : 438,977.66 = 82,289.61 : x
  2. Step 2: Convert to fraction form
    292,651.67/438,977.66 = 82,289.61/x
  3. Step 3: Cross multiply
    292,651.67x = 438,977.66 × 82,289.61
  4. Step 4: Simplify right side
    292,651.67x = 36,123,300,028.66
  5. Step 5: Solve for x
    x = 36,123,300,028.66/292,651.67
  6. Step 6: Final answer
    x = 123,434.46

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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.