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Finding the Fourth Proportional to 390,336.56, 538,639.52 and 218,268.71

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Solution

The fourth proportional to 390,336.56, 538,639.52 and 218,268.71 is: 301,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,336.56 : 538,639.52 = 218,268.71 : x
  2. Step 2: Convert to fraction form
    390,336.56/538,639.52 = 218,268.71/x
  3. Step 3: Cross multiply
    390,336.56x = 538,639.52 × 218,268.71
  4. Step 4: Simplify right side
    390,336.56x = 117,568,151,420.78
  5. Step 5: Solve for x
    x = 117,568,151,420.78/390,336.56
  6. Step 6: Final answer
    x = 301,196.87

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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.