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Finding the Fourth Proportional to 310,302.30, 465,344.10 and 110,629.20

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Solution

The fourth proportional to 310,302.30, 465,344.10 and 110,629.20 is: 165,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,302.30 : 465,344.10 = 110,629.20 : x
  2. Step 2: Convert to fraction form
    310,302.30/465,344.10 = 110,629.20/x
  3. Step 3: Cross multiply
    310,302.30x = 465,344.10 × 110,629.20
  4. Step 4: Simplify right side
    310,302.30x = 51,480,645,507.72
  5. Step 5: Solve for x
    x = 51,480,645,507.72/310,302.30
  6. Step 6: Final answer
    x = 165,904.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.