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Finding the Fourth Proportional to 292,835.76, 439,260.84 and 82,472.28

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Solution

The fourth proportional to 292,835.76, 439,260.84 and 82,472.28 is: 123,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,835.76 : 439,260.84 = 82,472.28 : x
  2. Step 2: Convert to fraction form
    292,835.76/439,260.84 = 82,472.28/x
  3. Step 3: Cross multiply
    292,835.76x = 439,260.84 × 82,472.28
  4. Step 4: Simplify right side
    292,835.76x = 36,226,842,989.52
  5. Step 5: Solve for x
    x = 36,226,842,989.52/292,835.76
  6. Step 6: Final answer
    x = 123,710.45

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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.