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Finding the Fourth Proportional to 587,715, 811,046.70 and 319,443

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Solution

The fourth proportional to 587,715, 811,046.70 and 319,443 is: 440,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,715 : 811,046.70 = 319,443 : x
  2. Step 2: Convert to fraction form
    587,715/811,046.70 = 319,443/x
  3. Step 3: Cross multiply
    587,715x = 811,046.70 × 319,443
  4. Step 4: Simplify right side
    587,715x = 259,083,190,988.10
  5. Step 5: Solve for x
    x = 259,083,190,988.10/587,715
  6. Step 6: Final answer
    x = 440,831.34

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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.