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Finding the Fourth Proportional to 385,058.76, 577,444.32 and 132,267.48

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Solution

The fourth proportional to 385,058.76, 577,444.32 and 132,267.48 is: 198,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,058.76 : 577,444.32 = 132,267.48 : x
  2. Step 2: Convert to fraction form
    385,058.76/577,444.32 = 132,267.48/x
  3. Step 3: Cross multiply
    385,058.76x = 577,444.32 × 132,267.48
  4. Step 4: Simplify right side
    385,058.76x = 76,377,105,046.71
  5. Step 5: Solve for x
    x = 76,377,105,046.71/385,058.76
  6. Step 6: Final answer
    x = 198,351.82

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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.