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Finding the Fourth Proportional to 272,410.50, 408,615.75 and 75,418.50

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Solution

The fourth proportional to 272,410.50, 408,615.75 and 75,418.50 is: 113,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,410.50 : 408,615.75 = 75,418.50 : x
  2. Step 2: Convert to fraction form
    272,410.50/408,615.75 = 75,418.50/x
  3. Step 3: Cross multiply
    272,410.50x = 408,615.75 × 75,418.50
  4. Step 4: Simplify right side
    272,410.50x = 30,817,186,941.38
  5. Step 5: Solve for x
    x = 30,817,186,941.38/272,410.50
  6. Step 6: Final answer
    x = 113,127.75

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1.5x scale

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.