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Finding the Fourth Proportional to 587,764.64, 800,264 and 585,898.40

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Solution

The fourth proportional to 587,764.64, 800,264 and 585,898.40 is: 797,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,764.64 : 800,264 = 585,898.40 : x
  2. Step 2: Convert to fraction form
    587,764.64/800,264 = 585,898.40/x
  3. Step 3: Cross multiply
    587,764.64x = 800,264 × 585,898.40
  4. Step 4: Simplify right side
    587,764.64x = 468,873,397,177.60
  5. Step 5: Solve for x
    x = 468,873,397,177.60/587,764.64
  6. Step 6: Final answer
    x = 797,723.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.