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Finding the Fourth Proportional to 277,465.60, 416,198.40 and 247,941.10

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Solution

The fourth proportional to 277,465.60, 416,198.40 and 247,941.10 is: 371,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.60 : 416,198.40 = 247,941.10 : x
  2. Step 2: Convert to fraction form
    277,465.60/416,198.40 = 247,941.10/x
  3. Step 3: Cross multiply
    277,465.60x = 416,198.40 × 247,941.10
  4. Step 4: Simplify right side
    277,465.60x = 103,192,689,114.24
  5. Step 5: Solve for x
    x = 103,192,689,114.24/277,465.60
  6. Step 6: Final answer
    x = 371,911.65

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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.