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Finding the Fourth Proportional to 587,764.96, 811,204.28 and 358,455.31

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Solution

The fourth proportional to 587,764.96, 811,204.28 and 358,455.31 is: 494,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,764.96 : 811,204.28 = 358,455.31 : x
  2. Step 2: Convert to fraction form
    587,764.96/811,204.28 = 358,455.31/x
  3. Step 3: Cross multiply
    587,764.96x = 811,204.28 × 358,455.31
  4. Step 4: Simplify right side
    587,764.96x = 290,780,481,660.73
  5. Step 5: Solve for x
    x = 290,780,481,660.73/587,764.96
  6. Step 6: Final answer
    x = 494,722.38

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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.