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Finding the Fourth Proportional to 418,073.18, 577,180.37 and 275,248.41

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Solution

The fourth proportional to 418,073.18, 577,180.37 and 275,248.41 is: 380,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,073.18 : 577,180.37 = 275,248.41 : x
  2. Step 2: Convert to fraction form
    418,073.18/577,180.37 = 275,248.41/x
  3. Step 3: Cross multiply
    418,073.18x = 577,180.37 × 275,248.41
  4. Step 4: Simplify right side
    418,073.18x = 158,867,977,649.41
  5. Step 5: Solve for x
    x = 158,867,977,649.41/418,073.18
  6. Step 6: Final answer
    x = 380,000.41

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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.