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Finding the Fourth Proportional to 311,246.80, 466,214.10 and 278,004.40

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Solution

The fourth proportional to 311,246.80, 466,214.10 and 278,004.40 is: 416,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,246.80 : 466,214.10 = 278,004.40 : x
  2. Step 2: Convert to fraction form
    311,246.80/466,214.10 = 278,004.40/x
  3. Step 3: Cross multiply
    311,246.80x = 466,214.10 × 278,004.40
  4. Step 4: Simplify right side
    311,246.80x = 129,609,571,142.04
  5. Step 5: Solve for x
    x = 129,609,571,142.04/311,246.80
  6. Step 6: Final answer
    x = 416,420.57

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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.