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Finding the Fourth Proportional to 537,793.40, 806,690.10 and 411,822.20

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Solution

The fourth proportional to 537,793.40, 806,690.10 and 411,822.20 is: 617,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,793.40 : 806,690.10 = 411,822.20 : x
  2. Step 2: Convert to fraction form
    537,793.40/806,690.10 = 411,822.20/x
  3. Step 3: Cross multiply
    537,793.40x = 806,690.10 × 411,822.20
  4. Step 4: Simplify right side
    537,793.40x = 332,212,891,700.22
  5. Step 5: Solve for x
    x = 332,212,891,700.22/537,793.40
  6. Step 6: Final answer
    x = 617,733.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.