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Finding the Fourth Proportional to 409,855.20, 614,782.80 and 232,708.20

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Solution

The fourth proportional to 409,855.20, 614,782.80 and 232,708.20 is: 349,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,855.20 : 614,782.80 = 232,708.20 : x
  2. Step 2: Convert to fraction form
    409,855.20/614,782.80 = 232,708.20/x
  3. Step 3: Cross multiply
    409,855.20x = 614,782.80 × 232,708.20
  4. Step 4: Simplify right side
    409,855.20x = 143,064,998,778.96
  5. Step 5: Solve for x
    x = 143,064,998,778.96/409,855.20
  6. Step 6: Final answer
    x = 349,062.30

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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.