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Finding the Fourth Proportional to 534,127.80, 800,025.30 and 414,863.40

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Solution

The fourth proportional to 534,127.80, 800,025.30 and 414,863.40 is: 621,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,127.80 : 800,025.30 = 414,863.40 : x
  2. Step 2: Convert to fraction form
    534,127.80/800,025.30 = 414,863.40/x
  3. Step 3: Cross multiply
    534,127.80x = 800,025.30 × 414,863.40
  4. Step 4: Simplify right side
    534,127.80x = 331,901,216,044.02
  5. Step 5: Solve for x
    x = 331,901,216,044.02/534,127.80
  6. Step 6: Final answer
    x = 621,389.14

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1.5x scale

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.