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Finding the Fourth Proportional to 232,830.10, 349,489.46 and 206,345.53

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Solution

The fourth proportional to 232,830.10, 349,489.46 and 206,345.53 is: 309,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,830.10 : 349,489.46 = 206,345.53 : x
  2. Step 2: Convert to fraction form
    232,830.10/349,489.46 = 206,345.53/x
  3. Step 3: Cross multiply
    232,830.10x = 349,489.46 × 206,345.53
  4. Step 4: Simplify right side
    232,830.10x = 72,115,587,853.11
  5. Step 5: Solve for x
    x = 72,115,587,853.11/232,830.10
  6. Step 6: Final answer
    x = 309,734.81

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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.