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Finding the Fourth Proportional to 301,510.14, 416,067.75 and 167,365.50

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Solution

The fourth proportional to 301,510.14, 416,067.75 and 167,365.50 is: 230,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,510.14 : 416,067.75 = 167,365.50 : x
  2. Step 2: Convert to fraction form
    301,510.14/416,067.75 = 167,365.50/x
  3. Step 3: Cross multiply
    301,510.14x = 416,067.75 × 167,365.50
  4. Step 4: Simplify right side
    301,510.14x = 69,635,387,012.63
  5. Step 5: Solve for x
    x = 69,635,387,012.63/301,510.14
  6. Step 6: Final answer
    x = 230,955.37

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1.5x scale

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.