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Finding the Fourth Proportional to 467,999.90, 701,999.85 and 202,279.40

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Solution

The fourth proportional to 467,999.90, 701,999.85 and 202,279.40 is: 303,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,999.90 : 701,999.85 = 202,279.40 : x
  2. Step 2: Convert to fraction form
    467,999.90/701,999.85 = 202,279.40/x
  3. Step 3: Cross multiply
    467,999.90x = 701,999.85 × 202,279.40
  4. Step 4: Simplify right side
    467,999.90x = 142,000,108,458.09
  5. Step 5: Solve for x
    x = 142,000,108,458.09/467,999.90
  6. Step 6: Final answer
    x = 303,419.10

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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.