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Finding the Fourth Proportional to 301,710.39, 416,346.87 and 180,918.33

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Solution

The fourth proportional to 301,710.39, 416,346.87 and 180,918.33 is: 249,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,710.39 : 416,346.87 = 180,918.33 : x
  2. Step 2: Convert to fraction form
    301,710.39/416,346.87 = 180,918.33/x
  3. Step 3: Cross multiply
    301,710.39x = 416,346.87 × 180,918.33
  4. Step 4: Simplify right side
    301,710.39x = 75,324,780,421.13
  5. Step 5: Solve for x
    x = 75,324,780,421.13/301,710.39
  6. Step 6: Final answer
    x = 249,659.22

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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.