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Finding the Fourth Proportional to 605,143.40, 907,715.10 and 416,186.60

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Solution

The fourth proportional to 605,143.40, 907,715.10 and 416,186.60 is: 624,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,143.40 : 907,715.10 = 416,186.60 : x
  2. Step 2: Convert to fraction form
    605,143.40/907,715.10 = 416,186.60/x
  3. Step 3: Cross multiply
    605,143.40x = 907,715.10 × 416,186.60
  4. Step 4: Simplify right side
    605,143.40x = 377,778,861,237.66
  5. Step 5: Solve for x
    x = 377,778,861,237.66/605,143.40
  6. Step 6: Final answer
    x = 624,279.90

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Similar ratio
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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.