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Finding the Fourth Proportional to 417,812.72, 576,286.45 and 256,758.39

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Solution

The fourth proportional to 417,812.72, 576,286.45 and 256,758.39 is: 354,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,812.72 : 576,286.45 = 256,758.39 : x
  2. Step 2: Convert to fraction form
    417,812.72/576,286.45 = 256,758.39/x
  3. Step 3: Cross multiply
    417,812.72x = 576,286.45 × 256,758.39
  4. Step 4: Simplify right side
    417,812.72x = 147,966,380,438.92
  5. Step 5: Solve for x
    x = 147,966,380,438.92/417,812.72
  6. Step 6: Final answer
    x = 354,145.23

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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.