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Finding the Fourth Proportional to 704,098, 971,716.68 and 386,207.44

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Solution

The fourth proportional to 704,098, 971,716.68 and 386,207.44 is: 532,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,098 : 971,716.68 = 386,207.44 : x
  2. Step 2: Convert to fraction form
    704,098/971,716.68 = 386,207.44/x
  3. Step 3: Cross multiply
    704,098x = 971,716.68 × 386,207.44
  4. Step 4: Simplify right side
    704,098x = 375,284,211,388.10
  5. Step 5: Solve for x
    x = 375,284,211,388.10/704,098
  6. Step 6: Final answer
    x = 532,999.97

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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.