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Finding the Fourth Proportional to 493,193.81, 680,607.46 and 266,839.31

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Solution

The fourth proportional to 493,193.81, 680,607.46 and 266,839.31 is: 368,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,193.81 : 680,607.46 = 266,839.31 : x
  2. Step 2: Convert to fraction form
    493,193.81/680,607.46 = 266,839.31/x
  3. Step 3: Cross multiply
    493,193.81x = 680,607.46 × 266,839.31
  4. Step 4: Simplify right side
    493,193.81x = 181,612,827,042.32
  5. Step 5: Solve for x
    x = 181,612,827,042.32/493,193.81
  6. Step 6: Final answer
    x = 368,238.25

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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.