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Finding the Fourth Proportional to 390,120.63, 538,410.27 and 220,365.69

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Solution

The fourth proportional to 390,120.63, 538,410.27 and 220,365.69 is: 304,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120.63 : 538,410.27 = 220,365.69 : x
  2. Step 2: Convert to fraction form
    390,120.63/538,410.27 = 220,365.69/x
  3. Step 3: Cross multiply
    390,120.63x = 538,410.27 × 220,365.69
  4. Step 4: Simplify right side
    390,120.63x = 118,647,150,651.64
  5. Step 5: Solve for x
    x = 118,647,150,651.64/390,120.63
  6. Step 6: Final answer
    x = 304,129.39

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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.