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Finding the Fourth Proportional to 502,126.64, 692,940.24 and 275,772.12

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Solution

The fourth proportional to 502,126.64, 692,940.24 and 275,772.12 is: 380,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,126.64 : 692,940.24 = 275,772.12 : x
  2. Step 2: Convert to fraction form
    502,126.64/692,940.24 = 275,772.12/x
  3. Step 3: Cross multiply
    502,126.64x = 692,940.24 × 275,772.12
  4. Step 4: Simplify right side
    502,126.64x = 191,093,599,018.11
  5. Step 5: Solve for x
    x = 191,093,599,018.11/502,126.64
  6. Step 6: Final answer
    x = 380,568.53

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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.