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Finding the Fourth Proportional to 390,099.78, 538,332.89 and 218,020.55

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Solution

The fourth proportional to 390,099.78, 538,332.89 and 218,020.55 is: 300,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,099.78 : 538,332.89 = 218,020.55 : x
  2. Step 2: Convert to fraction form
    390,099.78/538,332.89 = 218,020.55/x
  3. Step 3: Cross multiply
    390,099.78x = 538,332.89 × 218,020.55
  4. Step 4: Simplify right side
    390,099.78x = 117,367,628,979.12
  5. Step 5: Solve for x
    x = 117,367,628,979.12/390,099.78
  6. Step 6: Final answer
    x = 300,865.66

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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.