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Finding the Fourth Proportional to 361,472.95, 498,803.30 and 200,334.79

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Solution

The fourth proportional to 361,472.95, 498,803.30 and 200,334.79 is: 276,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,472.95 : 498,803.30 = 200,334.79 : x
  2. Step 2: Convert to fraction form
    361,472.95/498,803.30 = 200,334.79/x
  3. Step 3: Cross multiply
    361,472.95x = 498,803.30 × 200,334.79
  4. Step 4: Simplify right side
    361,472.95x = 99,927,653,355.13
  5. Step 5: Solve for x
    x = 99,927,653,355.13/361,472.95
  6. Step 6: Final answer
    x = 276,445.73

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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.