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Finding the Fourth Proportional to 381,018.40, 570,944.40 and 360,023.20

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Solution

The fourth proportional to 381,018.40, 570,944.40 and 360,023.20 is: 539,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,018.40 : 570,944.40 = 360,023.20 : x
  2. Step 2: Convert to fraction form
    381,018.40/570,944.40 = 360,023.20/x
  3. Step 3: Cross multiply
    381,018.40x = 570,944.40 × 360,023.20
  4. Step 4: Simplify right side
    381,018.40x = 205,553,229,910.08
  5. Step 5: Solve for x
    x = 205,553,229,910.08/381,018.40
  6. Step 6: Final answer
    x = 539,483.74

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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.