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Finding the Fourth Proportional to 517,332.30, 774,556.65 and 264,067.98

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Solution

The fourth proportional to 517,332.30, 774,556.65 and 264,067.98 is: 395,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,332.30 : 774,556.65 = 264,067.98 : x
  2. Step 2: Convert to fraction form
    517,332.30/774,556.65 = 264,067.98/x
  3. Step 3: Cross multiply
    517,332.30x = 774,556.65 × 264,067.98
  4. Step 4: Simplify right side
    517,332.30x = 204,535,609,961.07
  5. Step 5: Solve for x
    x = 204,535,609,961.07/517,332.30
  6. Step 6: Final answer
    x = 395,366.02

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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.