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Finding the Fourth Proportional to 311,269.40, 466,904.10 and 297,618.20

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Solution

The fourth proportional to 311,269.40, 466,904.10 and 297,618.20 is: 446,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,269.40 : 466,904.10 = 297,618.20 : x
  2. Step 2: Convert to fraction form
    311,269.40/466,904.10 = 297,618.20/x
  3. Step 3: Cross multiply
    311,269.40x = 466,904.10 × 297,618.20
  4. Step 4: Simplify right side
    311,269.40x = 138,959,157,814.62
  5. Step 5: Solve for x
    x = 138,959,157,814.62/311,269.40
  6. Step 6: Final answer
    x = 446,427.30

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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.