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Finding the Fourth Proportional to 277,459.40, 416,189.10 and 247,910.60

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Solution

The fourth proportional to 277,459.40, 416,189.10 and 247,910.60 is: 371,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,459.40 : 416,189.10 = 247,910.60 : x
  2. Step 2: Convert to fraction form
    277,459.40/416,189.10 = 247,910.60/x
  3. Step 3: Cross multiply
    277,459.40x = 416,189.10 × 247,910.60
  4. Step 4: Simplify right side
    277,459.40x = 103,177,689,494.46
  5. Step 5: Solve for x
    x = 103,177,689,494.46/277,459.40
  6. Step 6: Final answer
    x = 371,865.90

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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.