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Finding the Fourth Proportional to 311,203.60, 466,805.40 and 100,862.80

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Solution

The fourth proportional to 311,203.60, 466,805.40 and 100,862.80 is: 151,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,203.60 : 466,805.40 = 100,862.80 : x
  2. Step 2: Convert to fraction form
    311,203.60/466,805.40 = 100,862.80/x
  3. Step 3: Cross multiply
    311,203.60x = 466,805.40 × 100,862.80
  4. Step 4: Simplify right side
    311,203.60x = 47,083,299,699.12
  5. Step 5: Solve for x
    x = 47,083,299,699.12/311,203.60
  6. Step 6: Final answer
    x = 151,294.20

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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.