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Finding the Fourth Proportional to 291,058.80, 435,713.40 and 172,669.20

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Solution

The fourth proportional to 291,058.80, 435,713.40 and 172,669.20 is: 258,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,058.80 : 435,713.40 = 172,669.20 : x
  2. Step 2: Convert to fraction form
    291,058.80/435,713.40 = 172,669.20/x
  3. Step 3: Cross multiply
    291,058.80x = 435,713.40 × 172,669.20
  4. Step 4: Simplify right side
    291,058.80x = 75,234,284,207.28
  5. Step 5: Solve for x
    x = 75,234,284,207.28/291,058.80
  6. Step 6: Final answer
    x = 258,484.83

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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.