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Finding the Fourth Proportional to 301,471.04, 416,031.68 and 188,359.36

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Solution

The fourth proportional to 301,471.04, 416,031.68 and 188,359.36 is: 259,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,471.04 : 416,031.68 = 188,359.36 : x
  2. Step 2: Convert to fraction form
    301,471.04/416,031.68 = 188,359.36/x
  3. Step 3: Cross multiply
    301,471.04x = 416,031.68 × 188,359.36
  4. Step 4: Simplify right side
    301,471.04x = 78,363,460,984.52
  5. Step 5: Solve for x
    x = 78,363,460,984.52/301,471.04
  6. Step 6: Final answer
    x = 259,936.94

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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.