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Finding the Fourth Proportional to 402,644.16, 603,523.38 and 165,857.70

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Solution

The fourth proportional to 402,644.16, 603,523.38 and 165,857.70 is: 248,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,644.16 : 603,523.38 = 165,857.70 : x
  2. Step 2: Convert to fraction form
    402,644.16/603,523.38 = 165,857.70/x
  3. Step 3: Cross multiply
    402,644.16x = 603,523.38 × 165,857.70
  4. Step 4: Simplify right side
    402,644.16x = 100,098,999,703.03
  5. Step 5: Solve for x
    x = 100,098,999,703.03/402,644.16
  6. Step 6: Final answer
    x = 248,604.13

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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.