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Finding the Fourth Proportional to 232,489.60, 347,812.80 and 201,667.20

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Solution

The fourth proportional to 232,489.60, 347,812.80 and 201,667.20 is: 301,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,489.60 : 347,812.80 = 201,667.20 : x
  2. Step 2: Convert to fraction form
    232,489.60/347,812.80 = 201,667.20/x
  3. Step 3: Cross multiply
    232,489.60x = 347,812.80 × 201,667.20
  4. Step 4: Simplify right side
    232,489.60x = 70,142,433,500.16
  5. Step 5: Solve for x
    x = 70,142,433,500.16/232,489.60
  6. Step 6: Final answer
    x = 301,701.38

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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.