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Finding the Fourth Proportional to 313,461.20, 469,414.20 and 251,253.20

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Solution

The fourth proportional to 313,461.20, 469,414.20 and 251,253.20 is: 376,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,461.20 : 469,414.20 = 251,253.20 : x
  2. Step 2: Convert to fraction form
    313,461.20/469,414.20 = 251,253.20/x
  3. Step 3: Cross multiply
    313,461.20x = 469,414.20 × 251,253.20
  4. Step 4: Simplify right side
    313,461.20x = 117,941,819,875.44
  5. Step 5: Solve for x
    x = 117,941,819,875.44/313,461.20
  6. Step 6: Final answer
    x = 376,256.52

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1.5x scale

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.