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Finding the Fourth Proportional to 371,840.38, 513,076.35 and 210,662.14

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Solution

The fourth proportional to 371,840.38, 513,076.35 and 210,662.14 is: 290,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,840.38 : 513,076.35 = 210,662.14 : x
  2. Step 2: Convert to fraction form
    371,840.38/513,076.35 = 210,662.14/x
  3. Step 3: Cross multiply
    371,840.38x = 513,076.35 × 210,662.14
  4. Step 4: Simplify right side
    371,840.38x = 108,085,761,874.39
  5. Step 5: Solve for x
    x = 108,085,761,874.39/371,840.38
  6. Step 6: Final answer
    x = 290,677.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.