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Finding the Fourth Proportional to 264,795.60, 397,152.34 and 75,264.78

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Solution

The fourth proportional to 264,795.60, 397,152.34 and 75,264.78 is: 112,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,795.60 : 397,152.34 = 75,264.78 : x
  2. Step 2: Convert to fraction form
    264,795.60/397,152.34 = 75,264.78/x
  3. Step 3: Cross multiply
    264,795.60x = 397,152.34 × 75,264.78
  4. Step 4: Simplify right side
    264,795.60x = 29,891,583,496.59
  5. Step 5: Solve for x
    x = 29,891,583,496.59/264,795.60
  6. Step 6: Final answer
    x = 112,885.50

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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.