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Finding the Fourth Proportional to 382,207.90, 527,452.80 and 210,133.32

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Solution

The fourth proportional to 382,207.90, 527,452.80 and 210,133.32 is: 289,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,207.90 : 527,452.80 = 210,133.32 : x
  2. Step 2: Convert to fraction form
    382,207.90/527,452.80 = 210,133.32/x
  3. Step 3: Cross multiply
    382,207.90x = 527,452.80 × 210,133.32
  4. Step 4: Simplify right side
    382,207.90x = 110,835,408,007.30
  5. Step 5: Solve for x
    x = 110,835,408,007.30/382,207.90
  6. Step 6: Final answer
    x = 289,987.22

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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.