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Finding the Fourth Proportional to 301,862.06, 416,478.71 and 180,959.23

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Solution

The fourth proportional to 301,862.06, 416,478.71 and 180,959.23 is: 249,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.06 : 416,478.71 = 180,959.23 : x
  2. Step 2: Convert to fraction form
    301,862.06/416,478.71 = 180,959.23/x
  3. Step 3: Cross multiply
    301,862.06x = 416,478.71 × 180,959.23
  4. Step 4: Simplify right side
    301,862.06x = 75,365,667,645.99
  5. Step 5: Solve for x
    x = 75,365,667,645.99/301,862.06
  6. Step 6: Final answer
    x = 249,669.23

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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.