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Finding the Fourth Proportional to 646,058.16, 969,010.92 and 172,780.20

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Solution

The fourth proportional to 646,058.16, 969,010.92 and 172,780.20 is: 259,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,058.16 : 969,010.92 = 172,780.20 : x
  2. Step 2: Convert to fraction form
    646,058.16/969,010.92 = 172,780.20/x
  3. Step 3: Cross multiply
    646,058.16x = 969,010.92 × 172,780.20
  4. Step 4: Simplify right side
    646,058.16x = 167,425,900,559.78
  5. Step 5: Solve for x
    x = 167,425,900,559.78/646,058.16
  6. Step 6: Final answer
    x = 259,149.89

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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.