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Finding the Fourth Proportional to 264,294.12, 396,444.42 and 77,309.40

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Solution

The fourth proportional to 264,294.12, 396,444.42 and 77,309.40 is: 115,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,294.12 : 396,444.42 = 77,309.40 : x
  2. Step 2: Convert to fraction form
    264,294.12/396,444.42 = 77,309.40/x
  3. Step 3: Cross multiply
    264,294.12x = 396,444.42 × 77,309.40
  4. Step 4: Simplify right side
    264,294.12x = 30,648,880,243.55
  5. Step 5: Solve for x
    x = 30,648,880,243.55/264,294.12
  6. Step 6: Final answer
    x = 115,965.05

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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.