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Finding the Fourth Proportional to 517,151.92, 776,454.48 and 264,613.56

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Solution

The fourth proportional to 517,151.92, 776,454.48 and 264,613.56 is: 397,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,151.92 : 776,454.48 = 264,613.56 : x
  2. Step 2: Convert to fraction form
    517,151.92/776,454.48 = 264,613.56/x
  3. Step 3: Cross multiply
    517,151.92x = 776,454.48 × 264,613.56
  4. Step 4: Simplify right side
    517,151.92x = 205,460,384,147.05
  5. Step 5: Solve for x
    x = 205,460,384,147.05/517,151.92
  6. Step 6: Final answer
    x = 397,292.13

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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.