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Finding the Fourth Proportional to 431,032.20, 646,548.30 and 164,801.40

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Solution

The fourth proportional to 431,032.20, 646,548.30 and 164,801.40 is: 247,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,032.20 : 646,548.30 = 164,801.40 : x
  2. Step 2: Convert to fraction form
    431,032.20/646,548.30 = 164,801.40/x
  3. Step 3: Cross multiply
    431,032.20x = 646,548.30 × 164,801.40
  4. Step 4: Simplify right side
    431,032.20x = 106,552,065,007.62
  5. Step 5: Solve for x
    x = 106,552,065,007.62/431,032.20
  6. Step 6: Final answer
    x = 247,202.10

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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.