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Finding the Fourth Proportional to 605,151.40, 907,727.10 and 416,194.60

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Solution

The fourth proportional to 605,151.40, 907,727.10 and 416,194.60 is: 624,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,151.40 : 907,727.10 = 416,194.60 : x
  2. Step 2: Convert to fraction form
    605,151.40/907,727.10 = 416,194.60/x
  3. Step 3: Cross multiply
    605,151.40x = 907,727.10 × 416,194.60
  4. Step 4: Simplify right side
    605,151.40x = 377,791,117,293.66
  5. Step 5: Solve for x
    x = 377,791,117,293.66/605,151.40
  6. Step 6: Final answer
    x = 624,291.90

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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.