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Finding the Fourth Proportional to 491,743.80, 735,866.10 and 341,278.20

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Solution

The fourth proportional to 491,743.80, 735,866.10 and 341,278.20 is: 510,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,743.80 : 735,866.10 = 341,278.20 : x
  2. Step 2: Convert to fraction form
    491,743.80/735,866.10 = 341,278.20/x
  3. Step 3: Cross multiply
    491,743.80x = 735,866.10 × 341,278.20
  4. Step 4: Simplify right side
    491,743.80x = 251,135,058,049.02
  5. Step 5: Solve for x
    x = 251,135,058,049.02/491,743.80
  6. Step 6: Final answer
    x = 510,703.05

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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.