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Finding the Fourth Proportional to 409,548.80, 614,323.20 and 143,281.55

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Solution

The fourth proportional to 409,548.80, 614,323.20 and 143,281.55 is: 214,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548.80 : 614,323.20 = 143,281.55 : x
  2. Step 2: Convert to fraction form
    409,548.80/614,323.20 = 143,281.55/x
  3. Step 3: Cross multiply
    409,548.80x = 614,323.20 × 143,281.55
  4. Step 4: Simplify right side
    409,548.80x = 88,021,180,296.96
  5. Step 5: Solve for x
    x = 88,021,180,296.96/409,548.80
  6. Step 6: Final answer
    x = 214,922.33

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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.