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Finding the Fourth Proportional to 358,864.74, 538,380.44 and 122,209.47

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Solution

The fourth proportional to 358,864.74, 538,380.44 and 122,209.47 is: 183,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,864.74 : 538,380.44 = 122,209.47 : x
  2. Step 2: Convert to fraction form
    358,864.74/538,380.44 = 122,209.47/x
  3. Step 3: Cross multiply
    358,864.74x = 538,380.44 × 122,209.47
  4. Step 4: Simplify right side
    358,864.74x = 65,795,187,619.72
  5. Step 5: Solve for x
    x = 65,795,187,619.72/358,864.74
  6. Step 6: Final answer
    x = 183,342.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.