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Finding the Fourth Proportional to 633,757.75, 950,638.24 and 160,443.16

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Solution

The fourth proportional to 633,757.75, 950,638.24 and 160,443.16 is: 240,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,757.75 : 950,638.24 = 160,443.16 : x
  2. Step 2: Convert to fraction form
    633,757.75/950,638.24 = 160,443.16/x
  3. Step 3: Cross multiply
    633,757.75x = 950,638.24 × 160,443.16
  4. Step 4: Simplify right side
    633,757.75x = 152,523,398,088.14
  5. Step 5: Solve for x
    x = 152,523,398,088.14/633,757.75
  6. Step 6: Final answer
    x = 240,665.14

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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.