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Finding the Fourth Proportional to 296,058.29, 408,560.13 and 160,091.89

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Solution

The fourth proportional to 296,058.29, 408,560.13 and 160,091.89 is: 220,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,058.29 : 408,560.13 = 160,091.89 : x
  2. Step 2: Convert to fraction form
    296,058.29/408,560.13 = 160,091.89/x
  3. Step 3: Cross multiply
    296,058.29x = 408,560.13 × 160,091.89
  4. Step 4: Simplify right side
    296,058.29x = 65,407,162,368.95
  5. Step 5: Solve for x
    x = 65,407,162,368.95/296,058.29
  6. Step 6: Final answer
    x = 220,926.64

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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.