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Finding the Fourth Proportional to 516,409.01, 712,618.39 and 286,961.36

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Solution

The fourth proportional to 516,409.01, 712,618.39 and 286,961.36 is: 395,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,409.01 : 712,618.39 = 286,961.36 : x
  2. Step 2: Convert to fraction form
    516,409.01/712,618.39 = 286,961.36/x
  3. Step 3: Cross multiply
    516,409.01x = 712,618.39 × 286,961.36
  4. Step 4: Simplify right side
    516,409.01x = 204,493,944,222.15
  5. Step 5: Solve for x
    x = 204,493,944,222.15/516,409.01
  6. Step 6: Final answer
    x = 395,992.21

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