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Finding the Fourth Proportional to 492,967.47, 680,295.11 and 266,612.97

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Solution

The fourth proportional to 492,967.47, 680,295.11 and 266,612.97 is: 367,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,967.47 : 680,295.11 = 266,612.97 : x
  2. Step 2: Convert to fraction form
    492,967.47/680,295.11 = 266,612.97/x
  3. Step 3: Cross multiply
    492,967.47x = 680,295.11 × 266,612.97
  4. Step 4: Simplify right side
    492,967.47x = 181,375,499,753.58
  5. Step 5: Solve for x
    x = 181,375,499,753.58/492,967.47
  6. Step 6: Final answer
    x = 367,925.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.