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Finding the Fourth Proportional to 493,306.64, 680,763.77 and 266,952.14

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Solution

The fourth proportional to 493,306.64, 680,763.77 and 266,952.14 is: 368,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,306.64 : 680,763.77 = 266,952.14 : x
  2. Step 2: Convert to fraction form
    493,306.64/680,763.77 = 266,952.14/x
  3. Step 3: Cross multiply
    493,306.64x = 680,763.77 × 266,952.14
  4. Step 4: Simplify right side
    493,306.64x = 181,731,345,235.97
  5. Step 5: Solve for x
    x = 181,731,345,235.97/493,306.64
  6. Step 6: Final answer
    x = 368,394.28

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1.5x scale

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.