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Finding the Fourth Proportional to 277,903.60, 416,812.20 and 78,204.40

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Solution

The fourth proportional to 277,903.60, 416,812.20 and 78,204.40 is: 117,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,903.60 : 416,812.20 = 78,204.40 : x
  2. Step 2: Convert to fraction form
    277,903.60/416,812.20 = 78,204.40/x
  3. Step 3: Cross multiply
    277,903.60x = 416,812.20 × 78,204.40
  4. Step 4: Simplify right side
    277,903.60x = 32,596,548,013.68
  5. Step 5: Solve for x
    x = 32,596,548,013.68/277,903.60
  6. Step 6: Final answer
    x = 117,294.44

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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.