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Finding the Fourth Proportional to 252,521.68, 378,294.06 and 211,508.24

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Solution

The fourth proportional to 252,521.68, 378,294.06 and 211,508.24 is: 316,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,521.68 : 378,294.06 = 211,508.24 : x
  2. Step 2: Convert to fraction form
    252,521.68/378,294.06 = 211,508.24/x
  3. Step 3: Cross multiply
    252,521.68x = 378,294.06 × 211,508.24
  4. Step 4: Simplify right side
    252,521.68x = 80,012,310,985.63
  5. Step 5: Solve for x
    x = 80,012,310,985.63/252,521.68
  6. Step 6: Final answer
    x = 316,853.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.