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Finding the Fourth Proportional to 384,013.40, 576,149.70 and 184,458.20

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Solution

The fourth proportional to 384,013.40, 576,149.70 and 184,458.20 is: 276,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,013.40 : 576,149.70 = 184,458.20 : x
  2. Step 2: Convert to fraction form
    384,013.40/576,149.70 = 184,458.20/x
  3. Step 3: Cross multiply
    384,013.40x = 576,149.70 × 184,458.20
  4. Step 4: Simplify right side
    384,013.40x = 106,275,536,592.54
  5. Step 5: Solve for x
    x = 106,275,536,592.54/384,013.40
  6. Step 6: Final answer
    x = 276,749.55

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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.