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Finding the Fourth Proportional to 534,126.80, 800,023.80 and 414,862.40

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Solution

The fourth proportional to 534,126.80, 800,023.80 and 414,862.40 is: 621,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,126.80 : 800,023.80 = 414,862.40 : x
  2. Step 2: Convert to fraction form
    534,126.80/800,023.80 = 414,862.40/x
  3. Step 3: Cross multiply
    534,126.80x = 800,023.80 × 414,862.40
  4. Step 4: Simplify right side
    534,126.80x = 331,899,793,725.12
  5. Step 5: Solve for x
    x = 331,899,793,725.12/534,126.80
  6. Step 6: Final answer
    x = 621,387.64

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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.