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Finding the Fourth Proportional to 311,101.40, 466,652.10 and 133,578.20

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Solution

The fourth proportional to 311,101.40, 466,652.10 and 133,578.20 is: 200,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.40 : 466,652.10 = 133,578.20 : x
  2. Step 2: Convert to fraction form
    311,101.40/466,652.10 = 133,578.20/x
  3. Step 3: Cross multiply
    311,101.40x = 466,652.10 × 133,578.20
  4. Step 4: Simplify right side
    311,101.40x = 62,334,547,544.22
  5. Step 5: Solve for x
    x = 62,334,547,544.22/311,101.40
  6. Step 6: Final answer
    x = 200,367.30

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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.