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Finding the Fourth Proportional to 542,382.58, 813,582.33 and 205,332.76

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Solution

The fourth proportional to 542,382.58, 813,582.33 and 205,332.76 is: 308,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,382.58 : 813,582.33 = 205,332.76 : x
  2. Step 2: Convert to fraction form
    542,382.58/813,582.33 = 205,332.76/x
  3. Step 3: Cross multiply
    542,382.58x = 813,582.33 × 205,332.76
  4. Step 4: Simplify right side
    542,382.58x = 167,055,105,306.13
  5. Step 5: Solve for x
    x = 167,055,105,306.13/542,382.58
  6. Step 6: Final answer
    x = 308,002.34

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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.