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Finding the Fourth Proportional to 214,717.12, 320,629.76 and 175,352.32

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Solution

The fourth proportional to 214,717.12, 320,629.76 and 175,352.32 is: 261,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,717.12 : 320,629.76 = 175,352.32 : x
  2. Step 2: Convert to fraction form
    214,717.12/320,629.76 = 175,352.32/x
  3. Step 3: Cross multiply
    214,717.12x = 320,629.76 × 175,352.32
  4. Step 4: Simplify right side
    214,717.12x = 56,223,172,277.04
  5. Step 5: Solve for x
    x = 56,223,172,277.04/214,717.12
  6. Step 6: Final answer
    x = 261,847.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.