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Finding the Fourth Proportional to 384,023.80, 576,035.70 and 206,876.80

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Solution

The fourth proportional to 384,023.80, 576,035.70 and 206,876.80 is: 310,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,023.80 : 576,035.70 = 206,876.80 : x
  2. Step 2: Convert to fraction form
    384,023.80/576,035.70 = 206,876.80/x
  3. Step 3: Cross multiply
    384,023.80x = 576,035.70 × 206,876.80
  4. Step 4: Simplify right side
    384,023.80x = 119,168,422,301.76
  5. Step 5: Solve for x
    x = 119,168,422,301.76/384,023.80
  6. Step 6: Final answer
    x = 310,315.20

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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.