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Finding the Fourth Proportional to 330,172.80, 495,259.20 and 212,074.80

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Solution

The fourth proportional to 330,172.80, 495,259.20 and 212,074.80 is: 318,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,172.80 : 495,259.20 = 212,074.80 : x
  2. Step 2: Convert to fraction form
    330,172.80/495,259.20 = 212,074.80/x
  3. Step 3: Cross multiply
    330,172.80x = 495,259.20 × 212,074.80
  4. Step 4: Simplify right side
    330,172.80x = 105,031,995,788.16
  5. Step 5: Solve for x
    x = 105,031,995,788.16/330,172.80
  6. Step 6: Final answer
    x = 318,112.20

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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.