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Finding the Fourth Proportional to 356,647.80, 534,778.52 and 156,734.16

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Solution

The fourth proportional to 356,647.80, 534,778.52 and 156,734.16 is: 235,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,647.80 : 534,778.52 = 156,734.16 : x
  2. Step 2: Convert to fraction form
    356,647.80/534,778.52 = 156,734.16/x
  3. Step 3: Cross multiply
    356,647.80x = 534,778.52 × 156,734.16
  4. Step 4: Simplify right side
    356,647.80x = 83,818,062,118.24
  5. Step 5: Solve for x
    x = 83,818,062,118.24/356,647.80
  6. Step 6: Final answer
    x = 235,016.34

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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.