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Finding the Fourth Proportional to 311,259.40, 466,889.10 and 297,608.20

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Solution

The fourth proportional to 311,259.40, 466,889.10 and 297,608.20 is: 446,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,259.40 : 466,889.10 = 297,608.20 : x
  2. Step 2: Convert to fraction form
    311,259.40/466,889.10 = 297,608.20/x
  3. Step 3: Cross multiply
    311,259.40x = 466,889.10 × 297,608.20
  4. Step 4: Simplify right side
    311,259.40x = 138,950,024,650.62
  5. Step 5: Solve for x
    x = 138,950,024,650.62/311,259.40
  6. Step 6: Final answer
    x = 446,412.30

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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.