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Finding the Fourth Proportional to 711,138.74, 981,618.57 and 409,452.98

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Solution

The fourth proportional to 711,138.74, 981,618.57 and 409,452.98 is: 565,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,138.74 : 981,618.57 = 409,452.98 : x
  2. Step 2: Convert to fraction form
    711,138.74/981,618.57 = 409,452.98/x
  3. Step 3: Cross multiply
    711,138.74x = 981,618.57 × 409,452.98
  4. Step 4: Simplify right side
    711,138.74x = 401,926,648,709.84
  5. Step 5: Solve for x
    x = 401,926,648,709.84/711,138.74
  6. Step 6: Final answer
    x = 565,187.39

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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.