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Finding the Fourth Proportional to 311,296.40, 467,002.20 and 100,941.20

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Solution

The fourth proportional to 311,296.40, 467,002.20 and 100,941.20 is: 151,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,296.40 : 467,002.20 = 100,941.20 : x
  2. Step 2: Convert to fraction form
    311,296.40/467,002.20 = 100,941.20/x
  3. Step 3: Cross multiply
    311,296.40x = 467,002.20 × 100,941.20
  4. Step 4: Simplify right side
    311,296.40x = 47,139,762,470.64
  5. Step 5: Solve for x
    x = 47,139,762,470.64/311,296.40
  6. Step 6: Final answer
    x = 151,430.48

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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.