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Finding the Fourth Proportional to 408,008.30, 563,051.50 and 226,714.90

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Solution

The fourth proportional to 408,008.30, 563,051.50 and 226,714.90 is: 312,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,008.30 : 563,051.50 = 226,714.90 : x
  2. Step 2: Convert to fraction form
    408,008.30/563,051.50 = 226,714.90/x
  3. Step 3: Cross multiply
    408,008.30x = 563,051.50 × 226,714.90
  4. Step 4: Simplify right side
    408,008.30x = 127,652,164,517.35
  5. Step 5: Solve for x
    x = 127,652,164,517.35/408,008.30
  6. Step 6: Final answer
    x = 312,866.59

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1.5x scale

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.