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Finding the Fourth Proportional to 361,853.40, 543,125.70 and 309,322.20

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Solution

The fourth proportional to 361,853.40, 543,125.70 and 309,322.20 is: 464,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,853.40 : 543,125.70 = 309,322.20 : x
  2. Step 2: Convert to fraction form
    361,853.40/543,125.70 = 309,322.20/x
  3. Step 3: Cross multiply
    361,853.40x = 543,125.70 × 309,322.20
  4. Step 4: Simplify right side
    361,853.40x = 168,000,836,400.54
  5. Step 5: Solve for x
    x = 168,000,836,400.54/361,853.40
  6. Step 6: Final answer
    x = 464,278.73

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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.