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Finding the Fourth Proportional to 408,276.38, 563,225.10 and 265,081.34

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Solution

The fourth proportional to 408,276.38, 563,225.10 and 265,081.34 is: 365,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,276.38 : 563,225.10 = 265,081.34 : x
  2. Step 2: Convert to fraction form
    408,276.38/563,225.10 = 265,081.34/x
  3. Step 3: Cross multiply
    408,276.38x = 563,225.10 × 265,081.34
  4. Step 4: Simplify right side
    408,276.38x = 149,300,464,229.63
  5. Step 5: Solve for x
    x = 149,300,464,229.63/408,276.38
  6. Step 6: Final answer
    x = 365,684.79

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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.