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Finding the Fourth Proportional to 299,522, 413,003.40 and 244,903.76

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Solution

The fourth proportional to 299,522, 413,003.40 and 244,903.76 is: 337,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,522 : 413,003.40 = 244,903.76 : x
  2. Step 2: Convert to fraction form
    299,522/413,003.40 = 244,903.76/x
  3. Step 3: Cross multiply
    299,522x = 413,003.40 × 244,903.76
  4. Step 4: Simplify right side
    299,522x = 101,146,085,552.78
  5. Step 5: Solve for x
    x = 101,146,085,552.78/299,522
  6. Step 6: Final answer
    x = 337,691.67

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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.