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Finding the Fourth Proportional to 254,972.40, 382,604.40 and 176,143.20

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Solution

The fourth proportional to 254,972.40, 382,604.40 and 176,143.20 is: 264,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,972.40 : 382,604.40 = 176,143.20 : x
  2. Step 2: Convert to fraction form
    254,972.40/382,604.40 = 176,143.20/x
  3. Step 3: Cross multiply
    254,972.40x = 382,604.40 × 176,143.20
  4. Step 4: Simplify right side
    254,972.40x = 67,393,163,350.08
  5. Step 5: Solve for x
    x = 67,393,163,350.08/254,972.40
  6. Step 6: Final answer
    x = 264,315.52

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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.