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Finding the Fourth Proportional to 711,785.38, 982,272.94 and 409,979.38

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Solution

The fourth proportional to 711,785.38, 982,272.94 and 409,979.38 is: 565,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,785.38 : 982,272.94 = 409,979.38 : x
  2. Step 2: Convert to fraction form
    711,785.38/982,272.94 = 409,979.38/x
  3. Step 3: Cross multiply
    711,785.38x = 982,272.94 × 409,979.38
  4. Step 4: Simplify right side
    711,785.38x = 402,711,650,931.98
  5. Step 5: Solve for x
    x = 402,711,650,931.98/711,785.38
  6. Step 6: Final answer
    x = 565,776.79

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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.