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Finding the Fourth Proportional to 308,419.44, 462,314.04 and 175,018

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Solution

The fourth proportional to 308,419.44, 462,314.04 and 175,018 is: 262,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,419.44 : 462,314.04 = 175,018 : x
  2. Step 2: Convert to fraction form
    308,419.44/462,314.04 = 175,018/x
  3. Step 3: Cross multiply
    308,419.44x = 462,314.04 × 175,018
  4. Step 4: Simplify right side
    308,419.44x = 80,913,278,652.72
  5. Step 5: Solve for x
    x = 80,913,278,652.72/308,419.44
  6. Step 6: Final answer
    x = 262,348.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.