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Finding the Fourth Proportional to 431,735.02, 647,210.49 and 151,099.18

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Solution

The fourth proportional to 431,735.02, 647,210.49 and 151,099.18 is: 226,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,735.02 : 647,210.49 = 151,099.18 : x
  2. Step 2: Convert to fraction form
    431,735.02/647,210.49 = 151,099.18/x
  3. Step 3: Cross multiply
    431,735.02x = 647,210.49 × 151,099.18
  4. Step 4: Simplify right side
    431,735.02x = 97,792,974,326.40
  5. Step 5: Solve for x
    x = 97,792,974,326.40/431,735.02
  6. Step 6: Final answer
    x = 226,511.56

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Why These Related Problems?

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