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Finding the Fourth Proportional to 310,411.20, 464,839.20 and 204,657.60

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Solution

The fourth proportional to 310,411.20, 464,839.20 and 204,657.60 is: 306,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,411.20 : 464,839.20 = 204,657.60 : x
  2. Step 2: Convert to fraction form
    310,411.20/464,839.20 = 204,657.60/x
  3. Step 3: Cross multiply
    310,411.20x = 464,839.20 × 204,657.60
  4. Step 4: Simplify right side
    310,411.20x = 95,132,875,057.92
  5. Step 5: Solve for x
    x = 95,132,875,057.92/310,411.20
  6. Step 6: Final answer
    x = 306,473.72

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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.