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Finding the Fourth Proportional to 384,019.70, 576,029.55 and 117,778.10

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Solution

The fourth proportional to 384,019.70, 576,029.55 and 117,778.10 is: 176,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,019.70 : 576,029.55 = 117,778.10 : x
  2. Step 2: Convert to fraction form
    384,019.70/576,029.55 = 117,778.10/x
  3. Step 3: Cross multiply
    384,019.70x = 576,029.55 × 117,778.10
  4. Step 4: Simplify right side
    384,019.70x = 67,843,665,942.86
  5. Step 5: Solve for x
    x = 67,843,665,942.86/384,019.70
  6. Step 6: Final answer
    x = 176,667.15

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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.