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Finding the Fourth Proportional to 632,637, 948,954.69 and 206,172.18

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Solution

The fourth proportional to 632,637, 948,954.69 and 206,172.18 is: 309,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,637 : 948,954.69 = 206,172.18 : x
  2. Step 2: Convert to fraction form
    632,637/948,954.69 = 206,172.18/x
  3. Step 3: Cross multiply
    632,637x = 948,954.69 × 206,172.18
  4. Step 4: Simplify right side
    632,637x = 195,648,057,158.52
  5. Step 5: Solve for x
    x = 195,648,057,158.52/632,637
  6. Step 6: Final answer
    x = 309,258.01

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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.