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Finding the Fourth Proportional to 381,463.98, 526,255.83 and 230,473.50

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Solution

The fourth proportional to 381,463.98, 526,255.83 and 230,473.50 is: 317,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,463.98 : 526,255.83 = 230,473.50 : x
  2. Step 2: Convert to fraction form
    381,463.98/526,255.83 = 230,473.50/x
  3. Step 3: Cross multiply
    381,463.98x = 526,255.83 × 230,473.50
  4. Step 4: Simplify right side
    381,463.98x = 121,288,023,035.51
  5. Step 5: Solve for x
    x = 121,288,023,035.51/381,463.98
  6. Step 6: Final answer
    x = 317,954.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.