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Finding the Fourth Proportional to 301,754.71, 416,248.28 and 188,380.63

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Solution

The fourth proportional to 301,754.71, 416,248.28 and 188,380.63 is: 259,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,754.71 : 416,248.28 = 188,380.63 : x
  2. Step 2: Convert to fraction form
    301,754.71/416,248.28 = 188,380.63/x
  3. Step 3: Cross multiply
    301,754.71x = 416,248.28 × 188,380.63
  4. Step 4: Simplify right side
    301,754.71x = 78,413,113,222.82
  5. Step 5: Solve for x
    x = 78,413,113,222.82/301,754.71
  6. Step 6: Final answer
    x = 259,857.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.