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Finding the Fourth Proportional to 493,302.52, 680,758.07 and 266,948.02

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Solution

The fourth proportional to 493,302.52, 680,758.07 and 266,948.02 is: 368,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,302.52 : 680,758.07 = 266,948.02 : x
  2. Step 2: Convert to fraction form
    493,302.52/680,758.07 = 266,948.02/x
  3. Step 3: Cross multiply
    493,302.52x = 680,758.07 × 266,948.02
  4. Step 4: Simplify right side
    493,302.52x = 181,727,016,149.10
  5. Step 5: Solve for x
    x = 181,727,016,149.10/493,302.52
  6. Step 6: Final answer
    x = 368,388.59

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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.