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Finding the Fourth Proportional to 313,132.16, 469,161.36 and 210,356.88

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Solution

The fourth proportional to 313,132.16, 469,161.36 and 210,356.88 is: 315,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,132.16 : 469,161.36 = 210,356.88 : x
  2. Step 2: Convert to fraction form
    313,132.16/469,161.36 = 210,356.88/x
  3. Step 3: Cross multiply
    313,132.16x = 469,161.36 × 210,356.88
  4. Step 4: Simplify right side
    313,132.16x = 98,691,319,906.16
  5. Step 5: Solve for x
    x = 98,691,319,906.16/313,132.16
  6. Step 6: Final answer
    x = 315,174.65

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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.