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Finding the Fourth Proportional to 409,627.20, 614,440.80 and 129,172.80

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Solution

The fourth proportional to 409,627.20, 614,440.80 and 129,172.80 is: 193,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,627.20 : 614,440.80 = 129,172.80 : x
  2. Step 2: Convert to fraction form
    409,627.20/614,440.80 = 129,172.80/x
  3. Step 3: Cross multiply
    409,627.20x = 614,440.80 × 129,172.80
  4. Step 4: Simplify right side
    409,627.20x = 79,369,038,570.24
  5. Step 5: Solve for x
    x = 79,369,038,570.24/409,627.20
  6. Step 6: Final answer
    x = 193,759.20

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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.