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Finding the Fourth Proportional to 397,229.13, 596,111.60 and 147,911.13

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Solution

The fourth proportional to 397,229.13, 596,111.60 and 147,911.13 is: 221,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,229.13 : 596,111.60 = 147,911.13 : x
  2. Step 2: Convert to fraction form
    397,229.13/596,111.60 = 147,911.13/x
  3. Step 3: Cross multiply
    397,229.13x = 596,111.60 × 147,911.13
  4. Step 4: Simplify right side
    397,229.13x = 88,171,540,362.11
  5. Step 5: Solve for x
    x = 88,171,540,362.11/397,229.13
  6. Step 6: Final answer
    x = 221,966.45

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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.