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Finding the Fourth Proportional to 264,685.52, 397,028.32 and 77,697.04

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Solution

The fourth proportional to 264,685.52, 397,028.32 and 77,697.04 is: 116,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,685.52 : 397,028.32 = 77,697.04 : x
  2. Step 2: Convert to fraction form
    264,685.52/397,028.32 = 77,697.04/x
  3. Step 3: Cross multiply
    264,685.52x = 397,028.32 × 77,697.04
  4. Step 4: Simplify right side
    264,685.52x = 30,847,925,260.17
  5. Step 5: Solve for x
    x = 30,847,925,260.17/264,685.52
  6. Step 6: Final answer
    x = 116,545.57

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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.