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Finding the Fourth Proportional to 311,189.80, 466,809.24 and 153,332.20

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Solution

The fourth proportional to 311,189.80, 466,809.24 and 153,332.20 is: 230,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,189.80 : 466,809.24 = 153,332.20 : x
  2. Step 2: Convert to fraction form
    311,189.80/466,809.24 = 153,332.20/x
  3. Step 3: Cross multiply
    311,189.80x = 466,809.24 × 153,332.20
  4. Step 4: Simplify right side
    311,189.80x = 71,576,887,749.53
  5. Step 5: Solve for x
    x = 71,576,887,749.53/311,189.80
  6. Step 6: Final answer
    x = 230,010.39

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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.