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Finding the Fourth Proportional to 232,419.60, 348,629.40 and 193,053.60

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Solution

The fourth proportional to 232,419.60, 348,629.40 and 193,053.60 is: 289,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,419.60 : 348,629.40 = 193,053.60 : x
  2. Step 2: Convert to fraction form
    232,419.60/348,629.40 = 193,053.60/x
  3. Step 3: Cross multiply
    232,419.60x = 348,629.40 × 193,053.60
  4. Step 4: Simplify right side
    232,419.60x = 67,304,160,735.84
  5. Step 5: Solve for x
    x = 67,304,160,735.84/232,419.60
  6. Step 6: Final answer
    x = 289,580.40

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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.