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Finding the Fourth Proportional to 586,763.57, 880,282.64 and 181,934.48

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Solution

The fourth proportional to 586,763.57, 880,282.64 and 181,934.48 is: 272,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,763.57 : 880,282.64 = 181,934.48 : x
  2. Step 2: Convert to fraction form
    586,763.57/880,282.64 = 181,934.48/x
  3. Step 3: Cross multiply
    586,763.57x = 880,282.64 × 181,934.48
  4. Step 4: Simplify right side
    586,763.57x = 160,153,760,414.85
  5. Step 5: Solve for x
    x = 160,153,760,414.85/586,763.57
  6. Step 6: Final answer
    x = 272,944.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.