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Finding the Fourth Proportional to 292,857.48, 439,226.28 and 82,497.24

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Solution

The fourth proportional to 292,857.48, 439,226.28 and 82,497.24 is: 123,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,857.48 : 439,226.28 = 82,497.24 : x
  2. Step 2: Convert to fraction form
    292,857.48/439,226.28 = 82,497.24/x
  3. Step 3: Cross multiply
    292,857.48x = 439,226.28 × 82,497.24
  4. Step 4: Simplify right side
    292,857.48x = 36,234,955,835.47
  5. Step 5: Solve for x
    x = 36,234,955,835.47/292,857.48
  6. Step 6: Final answer
    x = 123,728.98

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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.