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Finding the Fourth Proportional to 534,081.40, 800,085.30 and 296,999.80

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Solution

The fourth proportional to 534,081.40, 800,085.30 and 296,999.80 is: 444,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,081.40 : 800,085.30 = 296,999.80 : x
  2. Step 2: Convert to fraction form
    534,081.40/800,085.30 = 296,999.80/x
  3. Step 3: Cross multiply
    534,081.40x = 800,085.30 × 296,999.80
  4. Step 4: Simplify right side
    534,081.40x = 237,625,174,082.94
  5. Step 5: Solve for x
    x = 237,625,174,082.94/534,081.40
  6. Step 6: Final answer
    x = 444,923.14

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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.