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Finding the Fourth Proportional to 371,800.53, 513,084.78 and 202,034.25

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Solution

The fourth proportional to 371,800.53, 513,084.78 and 202,034.25 is: 278,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,800.53 : 513,084.78 = 202,034.25 : x
  2. Step 2: Convert to fraction form
    371,800.53/513,084.78 = 202,034.25/x
  3. Step 3: Cross multiply
    371,800.53x = 513,084.78 × 202,034.25
  4. Step 4: Simplify right side
    371,800.53x = 103,660,698,713.72
  5. Step 5: Solve for x
    x = 103,660,698,713.72/371,800.53
  6. Step 6: Final answer
    x = 278,807.29

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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.