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Finding the Fourth Proportional to 502,150.44, 692,799.03 and 284,329.33

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Solution

The fourth proportional to 502,150.44, 692,799.03 and 284,329.33 is: 392,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,150.44 : 692,799.03 = 284,329.33 : x
  2. Step 2: Convert to fraction form
    502,150.44/692,799.03 = 284,329.33/x
  3. Step 3: Cross multiply
    502,150.44x = 692,799.03 × 284,329.33
  4. Step 4: Simplify right side
    502,150.44x = 196,983,084,024.55
  5. Step 5: Solve for x
    x = 196,983,084,024.55/502,150.44
  6. Step 6: Final answer
    x = 392,279.02

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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.