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Finding the Fourth Proportional to 382,405.62, 527,726.43 and 210,342.18

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Solution

The fourth proportional to 382,405.62, 527,726.43 and 210,342.18 is: 290,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,405.62 : 527,726.43 = 210,342.18 : x
  2. Step 2: Convert to fraction form
    382,405.62/527,726.43 = 210,342.18/x
  3. Step 3: Cross multiply
    382,405.62x = 527,726.43 × 210,342.18
  4. Step 4: Simplify right side
    382,405.62x = 111,003,127,729.82
  5. Step 5: Solve for x
    x = 111,003,127,729.82/382,405.62
  6. Step 6: Final answer
    x = 290,275.88

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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.