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Finding the Fourth Proportional to 461,190.40, 690,403.20 and 405,894.40

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Solution

The fourth proportional to 461,190.40, 690,403.20 and 405,894.40 is: 607,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,190.40 : 690,403.20 = 405,894.40 : x
  2. Step 2: Convert to fraction form
    461,190.40/690,403.20 = 405,894.40/x
  3. Step 3: Cross multiply
    461,190.40x = 690,403.20 × 405,894.40
  4. Step 4: Simplify right side
    461,190.40x = 280,230,792,622.08
  5. Step 5: Solve for x
    x = 280,230,792,622.08/461,190.40
  6. Step 6: Final answer
    x = 607,624.95

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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.