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Finding the Fourth Proportional to 311,416.20, 467,124.30 and 295,864.20

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Solution

The fourth proportional to 311,416.20, 467,124.30 and 295,864.20 is: 443,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.20 : 467,124.30 = 295,864.20 : x
  2. Step 2: Convert to fraction form
    311,416.20/467,124.30 = 295,864.20/x
  3. Step 3: Cross multiply
    311,416.20x = 467,124.30 × 295,864.20
  4. Step 4: Simplify right side
    311,416.20x = 138,205,357,320.06
  5. Step 5: Solve for x
    x = 138,205,357,320.06/311,416.20
  6. Step 6: Final answer
    x = 443,796.30

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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.