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Finding the Fourth Proportional to 264,561.18, 396,907.71 and 77,572.68

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Solution

The fourth proportional to 264,561.18, 396,907.71 and 77,572.68 is: 116,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,561.18 : 396,907.71 = 77,572.68 : x
  2. Step 2: Convert to fraction form
    264,561.18/396,907.71 = 77,572.68/x
  3. Step 3: Cross multiply
    264,561.18x = 396,907.71 × 77,572.68
  4. Step 4: Simplify right side
    264,561.18x = 30,789,194,777.36
  5. Step 5: Solve for x
    x = 30,789,194,777.36/264,561.18
  6. Step 6: Final answer
    x = 116,378.35

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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.