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Finding the Fourth Proportional to 408,052.38, 563,068.35 and 226,723.35

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Solution

The fourth proportional to 408,052.38, 563,068.35 and 226,723.35 is: 312,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.38 : 563,068.35 = 226,723.35 : x
  2. Step 2: Convert to fraction form
    408,052.38/563,068.35 = 226,723.35/x
  3. Step 3: Cross multiply
    408,052.38x = 563,068.35 × 226,723.35
  4. Step 4: Simplify right side
    408,052.38x = 127,660,742,590.97
  5. Step 5: Solve for x
    x = 127,660,742,590.97/408,052.38
  6. Step 6: Final answer
    x = 312,853.81

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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.