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Finding the Fourth Proportional to 384,000.10, 576,000.15 and 381,667.30

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Solution

The fourth proportional to 384,000.10, 576,000.15 and 381,667.30 is: 572,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.10 : 576,000.15 = 381,667.30 : x
  2. Step 2: Convert to fraction form
    384,000.10/576,000.15 = 381,667.30/x
  3. Step 3: Cross multiply
    384,000.10x = 576,000.15 × 381,667.30
  4. Step 4: Simplify right side
    384,000.10x = 219,840,422,050.10
  5. Step 5: Solve for x
    x = 219,840,422,050.10/384,000.10
  6. Step 6: Final answer
    x = 572,500.95

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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.