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Finding the Fourth Proportional to 277,398.40, 416,097.60 and 211,043.20

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Solution

The fourth proportional to 277,398.40, 416,097.60 and 211,043.20 is: 316,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,398.40 : 416,097.60 = 211,043.20 : x
  2. Step 2: Convert to fraction form
    277,398.40/416,097.60 = 211,043.20/x
  3. Step 3: Cross multiply
    277,398.40x = 416,097.60 × 211,043.20
  4. Step 4: Simplify right side
    277,398.40x = 87,814,569,016.32
  5. Step 5: Solve for x
    x = 87,814,569,016.32/277,398.40
  6. Step 6: Final answer
    x = 316,564.80

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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.