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Finding the Fourth Proportional to 493,374.86, 680,857.36 and 267,020.36

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Solution

The fourth proportional to 493,374.86, 680,857.36 and 267,020.36 is: 368,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,374.86 : 680,857.36 = 267,020.36 : x
  2. Step 2: Convert to fraction form
    493,374.86/680,857.36 = 267,020.36/x
  3. Step 3: Cross multiply
    493,374.86x = 680,857.36 × 267,020.36
  4. Step 4: Simplify right side
    493,374.86x = 181,802,773,304.01
  5. Step 5: Solve for x
    x = 181,802,773,304.01/493,374.86
  6. Step 6: Final answer
    x = 368,488.12

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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.