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Finding the Fourth Proportional to 522,751.69, 721,409.76 and 293,325.95

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Solution

The fourth proportional to 522,751.69, 721,409.76 and 293,325.95 is: 404,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,751.69 : 721,409.76 = 293,325.95 : x
  2. Step 2: Convert to fraction form
    522,751.69/721,409.76 = 293,325.95/x
  3. Step 3: Cross multiply
    522,751.69x = 721,409.76 × 293,325.95
  4. Step 4: Simplify right side
    522,751.69x = 211,608,203,191.27
  5. Step 5: Solve for x
    x = 211,608,203,191.27/522,751.69
  6. Step 6: Final answer
    x = 404,796.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.