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Finding the Fourth Proportional to 317,263.68, 437,816.16 and 204,086.16

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Solution

The fourth proportional to 317,263.68, 437,816.16 and 204,086.16 is: 281,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,263.68 : 437,816.16 = 204,086.16 : x
  2. Step 2: Convert to fraction form
    317,263.68/437,816.16 = 204,086.16/x
  3. Step 3: Cross multiply
    317,263.68x = 437,816.16 × 204,086.16
  4. Step 4: Simplify right side
    317,263.68x = 89,352,218,880.35
  5. Step 5: Solve for x
    x = 89,352,218,880.35/317,263.68
  6. Step 6: Final answer
    x = 281,633.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.