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Finding the Fourth Proportional to 649,421.40, 974,285.70 and 206,189.40

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Solution

The fourth proportional to 649,421.40, 974,285.70 and 206,189.40 is: 309,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,421.40 : 974,285.70 = 206,189.40 : x
  2. Step 2: Convert to fraction form
    649,421.40/974,285.70 = 206,189.40/x
  3. Step 3: Cross multiply
    649,421.40x = 974,285.70 × 206,189.40
  4. Step 4: Simplify right side
    649,421.40x = 200,887,383,911.58
  5. Step 5: Solve for x
    x = 200,887,383,911.58/649,421.40
  6. Step 6: Final answer
    x = 309,332.87

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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.