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Finding the Fourth Proportional to 589,977, 884,968.74 and 146,745

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Solution

The fourth proportional to 589,977, 884,968.74 and 146,745 is: 220,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,977 : 884,968.74 = 146,745 : x
  2. Step 2: Convert to fraction form
    589,977/884,968.74 = 146,745/x
  3. Step 3: Cross multiply
    589,977x = 884,968.74 × 146,745
  4. Step 4: Simplify right side
    589,977x = 129,864,737,751.30
  5. Step 5: Solve for x
    x = 129,864,737,751.30/589,977
  6. Step 6: Final answer
    x = 220,118.31

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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.