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Finding the Fourth Proportional to 408,062.54, 563,206.92 and 260,793.20

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Solution

The fourth proportional to 408,062.54, 563,206.92 and 260,793.20 is: 359,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,062.54 : 563,206.92 = 260,793.20 : x
  2. Step 2: Convert to fraction form
    408,062.54/563,206.92 = 260,793.20/x
  3. Step 3: Cross multiply
    408,062.54x = 563,206.92 × 260,793.20
  4. Step 4: Simplify right side
    408,062.54x = 146,880,534,928.94
  5. Step 5: Solve for x
    x = 146,880,534,928.94/408,062.54
  6. Step 6: Final answer
    x = 359,946.14

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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.