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Finding the Fourth Proportional to 516,186.68, 712,317.78 and 286,758.38

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Solution

The fourth proportional to 516,186.68, 712,317.78 and 286,758.38 is: 395,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,186.68 : 712,317.78 = 286,758.38 : x
  2. Step 2: Convert to fraction form
    516,186.68/712,317.78 = 286,758.38/x
  3. Step 3: Cross multiply
    516,186.68x = 712,317.78 × 286,758.38
  4. Step 4: Simplify right side
    516,186.68x = 204,263,091,621.77
  5. Step 5: Solve for x
    x = 204,263,091,621.77/516,186.68
  6. Step 6: Final answer
    x = 395,715.55

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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.