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Finding the Fourth Proportional to 584,208, 876,312 and 140,976

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Solution

The fourth proportional to 584,208, 876,312 and 140,976 is: 211,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,208 : 876,312 = 140,976 : x
  2. Step 2: Convert to fraction form
    584,208/876,312 = 140,976/x
  3. Step 3: Cross multiply
    584,208x = 876,312 × 140,976
  4. Step 4: Simplify right side
    584,208x = 123,538,960,512
  5. Step 5: Solve for x
    x = 123,538,960,512/584,208
  6. Step 6: Final answer
    x = 211,464

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.