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Finding the Fourth Proportional to 264,352.23, 396,543.76 and 74,796.74

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Solution

The fourth proportional to 264,352.23, 396,543.76 and 74,796.74 is: 112,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,352.23 : 396,543.76 = 74,796.74 : x
  2. Step 2: Convert to fraction form
    264,352.23/396,543.76 = 74,796.74/x
  3. Step 3: Cross multiply
    264,352.23x = 396,543.76 × 74,796.74
  4. Step 4: Simplify right side
    264,352.23x = 29,660,180,515.34
  5. Step 5: Solve for x
    x = 29,660,180,515.34/264,352.23
  6. Step 6: Final answer
    x = 112,199.47

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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.