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Finding the Fourth Proportional to 310,982.40, 466,531.20 and 100,627.20

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Solution

The fourth proportional to 310,982.40, 466,531.20 and 100,627.20 is: 150,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,982.40 : 466,531.20 = 100,627.20 : x
  2. Step 2: Convert to fraction form
    310,982.40/466,531.20 = 100,627.20/x
  3. Step 3: Cross multiply
    310,982.40x = 466,531.20 × 100,627.20
  4. Step 4: Simplify right side
    310,982.40x = 46,945,728,368.64
  5. Step 5: Solve for x
    x = 46,945,728,368.64/310,982.40
  6. Step 6: Final answer
    x = 150,959.44

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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.