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Finding the Fourth Proportional to 311,243.20, 466,327.20 and 144,689.60

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Solution

The fourth proportional to 311,243.20, 466,327.20 and 144,689.60 is: 216,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,243.20 : 466,327.20 = 144,689.60 : x
  2. Step 2: Convert to fraction form
    311,243.20/466,327.20 = 144,689.60/x
  3. Step 3: Cross multiply
    311,243.20x = 466,327.20 × 144,689.60
  4. Step 4: Simplify right side
    311,243.20x = 67,472,696,037.12
  5. Step 5: Solve for x
    x = 67,472,696,037.12/311,243.20
  6. Step 6: Final answer
    x = 216,784.48

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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.