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Finding the Fourth Proportional to 390,120.38, 538,409.93 and 220,365.44

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Solution

The fourth proportional to 390,120.38, 538,409.93 and 220,365.44 is: 304,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,120.38 : 538,409.93 = 220,365.44 : x
  2. Step 2: Convert to fraction form
    390,120.38/538,409.93 = 220,365.44/x
  3. Step 3: Cross multiply
    390,120.38x = 538,409.93 × 220,365.44
  4. Step 4: Simplify right side
    390,120.38x = 118,646,937,330.94
  5. Step 5: Solve for x
    x = 118,646,937,330.94/390,120.38
  6. Step 6: Final answer
    x = 304,129.05

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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.