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Finding the Fourth Proportional to 534,710.80, 801,418.20 and 309,638.80

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Solution

The fourth proportional to 534,710.80, 801,418.20 and 309,638.80 is: 464,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,710.80 : 801,418.20 = 309,638.80 : x
  2. Step 2: Convert to fraction form
    534,710.80/801,418.20 = 309,638.80/x
  3. Step 3: Cross multiply
    534,710.80x = 801,418.20 × 309,638.80
  4. Step 4: Simplify right side
    534,710.80x = 248,150,169,746.16
  5. Step 5: Solve for x
    x = 248,150,169,746.16/534,710.80
  6. Step 6: Final answer
    x = 464,082.96

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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.