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Finding the Fourth Proportional to 408,032.78, 563,068.17 and 226,743.08

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Solution

The fourth proportional to 408,032.78, 563,068.17 and 226,743.08 is: 312,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.78 : 563,068.17 = 226,743.08 : x
  2. Step 2: Convert to fraction form
    408,032.78/563,068.17 = 226,743.08/x
  3. Step 3: Cross multiply
    408,032.78x = 563,068.17 × 226,743.08
  4. Step 4: Simplify right side
    408,032.78x = 127,671,811,115.76
  5. Step 5: Solve for x
    x = 127,671,811,115.76/408,032.78
  6. Step 6: Final answer
    x = 312,895.97

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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.