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Finding the Fourth Proportional to 370,143.32, 510,788.34 and 206,801.06

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Solution

The fourth proportional to 370,143.32, 510,788.34 and 206,801.06 is: 285,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,143.32 : 510,788.34 = 206,801.06 : x
  2. Step 2: Convert to fraction form
    370,143.32/510,788.34 = 206,801.06/x
  3. Step 3: Cross multiply
    370,143.32x = 510,788.34 × 206,801.06
  4. Step 4: Simplify right side
    370,143.32x = 105,631,567,593.70
  5. Step 5: Solve for x
    x = 105,631,567,593.70/370,143.32
  6. Step 6: Final answer
    x = 285,380.18

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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.