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Finding the Fourth Proportional to 227,407.68, 341,112.96 and 69,624

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Solution

The fourth proportional to 227,407.68, 341,112.96 and 69,624 is: 104,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,407.68 : 341,112.96 = 69,624 : x
  2. Step 2: Convert to fraction form
    227,407.68/341,112.96 = 69,624/x
  3. Step 3: Cross multiply
    227,407.68x = 341,112.96 × 69,624
  4. Step 4: Simplify right side
    227,407.68x = 23,749,648,727.04
  5. Step 5: Solve for x
    x = 23,749,648,727.04/227,407.68
  6. Step 6: Final answer
    x = 104,436.44

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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.