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Finding the Fourth Proportional to 408,002.90, 563,032.77 and 226,710.14

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Solution

The fourth proportional to 408,002.90, 563,032.77 and 226,710.14 is: 312,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,002.90 : 563,032.77 = 226,710.14 : x
  2. Step 2: Convert to fraction form
    408,002.90/563,032.77 = 226,710.14/x
  3. Step 3: Cross multiply
    408,002.90x = 563,032.77 × 226,710.14
  4. Step 4: Simplify right side
    408,002.90x = 127,645,238,111.29
  5. Step 5: Solve for x
    x = 127,645,238,111.29/408,002.90
  6. Step 6: Final answer
    x = 312,853.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.