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Finding the Fourth Proportional to 589,332.11, 813,345.75 and 327,713.54

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Solution

The fourth proportional to 589,332.11, 813,345.75 and 327,713.54 is: 452,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,332.11 : 813,345.75 = 327,713.54 : x
  2. Step 2: Convert to fraction form
    589,332.11/813,345.75 = 327,713.54/x
  3. Step 3: Cross multiply
    589,332.11x = 813,345.75 × 327,713.54
  4. Step 4: Simplify right side
    589,332.11x = 266,544,410,909.73
  5. Step 5: Solve for x
    x = 266,544,410,909.73/589,332.11
  6. Step 6: Final answer
    x = 452,282.18

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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.