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Finding the Fourth Proportional to 382,203.90, 527,447.28 and 210,129.32

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Solution

The fourth proportional to 382,203.90, 527,447.28 and 210,129.32 is: 289,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,203.90 : 527,447.28 = 210,129.32 : x
  2. Step 2: Convert to fraction form
    382,203.90/527,447.28 = 210,129.32/x
  3. Step 3: Cross multiply
    382,203.90x = 527,447.28 × 210,129.32
  4. Step 4: Simplify right side
    382,203.90x = 110,832,135,645.01
  5. Step 5: Solve for x
    x = 110,832,135,645.01/382,203.90
  6. Step 6: Final answer
    x = 289,981.70

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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.