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Finding the Fourth Proportional to 516,041.38, 712,146.63 and 286,619.92

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Solution

The fourth proportional to 516,041.38, 712,146.63 and 286,619.92 is: 395,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,041.38 : 712,146.63 = 286,619.92 : x
  2. Step 2: Convert to fraction form
    516,041.38/712,146.63 = 286,619.92/x
  3. Step 3: Cross multiply
    516,041.38x = 712,146.63 × 286,619.92
  4. Step 4: Simplify right side
    516,041.38x = 204,115,409,413.33
  5. Step 5: Solve for x
    x = 204,115,409,413.33/516,041.38
  6. Step 6: Final answer
    x = 395,540.78

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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.