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Finding the Fourth Proportional to 384,277.46, 576,414.96 and 103,794.71

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Solution

The fourth proportional to 384,277.46, 576,414.96 and 103,794.71 is: 155,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.46 : 576,414.96 = 103,794.71 : x
  2. Step 2: Convert to fraction form
    384,277.46/576,414.96 = 103,794.71/x
  3. Step 3: Cross multiply
    384,277.46x = 576,414.96 × 103,794.71
  4. Step 4: Simplify right side
    384,277.46x = 59,828,820,730.79
  5. Step 5: Solve for x
    x = 59,828,820,730.79/384,277.46
  6. Step 6: Final answer
    x = 155,691.73

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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.