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Finding the Fourth Proportional to 361,442.85, 498,793.91 and 200,300.50

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Solution

The fourth proportional to 361,442.85, 498,793.91 and 200,300.50 is: 276,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,442.85 : 498,793.91 = 200,300.50 : x
  2. Step 2: Convert to fraction form
    361,442.85/498,793.91 = 200,300.50/x
  3. Step 3: Cross multiply
    361,442.85x = 498,793.91 × 200,300.50
  4. Step 4: Simplify right side
    361,442.85x = 99,908,669,569.96
  5. Step 5: Solve for x
    x = 99,908,669,569.96/361,442.85
  6. Step 6: Final answer
    x = 276,416.23

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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.