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Finding the Fourth Proportional to 650,233.85, 897,335.62 and 392,109.53

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Solution

The fourth proportional to 650,233.85, 897,335.62 and 392,109.53 is: 541,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,233.85 : 897,335.62 = 392,109.53 : x
  2. Step 2: Convert to fraction form
    650,233.85/897,335.62 = 392,109.53/x
  3. Step 3: Cross multiply
    650,233.85x = 897,335.62 × 392,109.53
  4. Step 4: Simplify right side
    650,233.85x = 351,853,842,743.51
  5. Step 5: Solve for x
    x = 351,853,842,743.51/650,233.85
  6. Step 6: Final answer
    x = 541,118.93

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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.