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Finding the Fourth Proportional to 301,904.13, 416,637.24 and 165,948.60

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Solution

The fourth proportional to 301,904.13, 416,637.24 and 165,948.60 is: 229,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.13 : 416,637.24 = 165,948.60 : x
  2. Step 2: Convert to fraction form
    301,904.13/416,637.24 = 165,948.60/x
  3. Step 3: Cross multiply
    301,904.13x = 416,637.24 × 165,948.60
  4. Step 4: Simplify right side
    301,904.13x = 69,140,366,685.86
  5. Step 5: Solve for x
    x = 69,140,366,685.86/301,904.13
  6. Step 6: Final answer
    x = 229,014.31

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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.