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Finding the Fourth Proportional to 589,797, 884,695.56 and 146,565

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Solution

The fourth proportional to 589,797, 884,695.56 and 146,565 is: 219,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,797 : 884,695.56 = 146,565 : x
  2. Step 2: Convert to fraction form
    589,797/884,695.56 = 146,565/x
  3. Step 3: Cross multiply
    589,797x = 884,695.56 × 146,565
  4. Step 4: Simplify right side
    589,797x = 129,665,404,751.40
  5. Step 5: Solve for x
    x = 129,665,404,751.40/589,797
  6. Step 6: Final answer
    x = 219,847.51

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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.