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Finding the Fourth Proportional to 298,299.29, 447,270.47 and 202,354.41

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Solution

The fourth proportional to 298,299.29, 447,270.47 and 202,354.41 is: 303,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,299.29 : 447,270.47 = 202,354.41 : x
  2. Step 2: Convert to fraction form
    298,299.29/447,270.47 = 202,354.41/x
  3. Step 3: Cross multiply
    298,299.29x = 447,270.47 × 202,354.41
  4. Step 4: Simplify right side
    298,299.29x = 90,507,151,055.50
  5. Step 5: Solve for x
    x = 90,507,151,055.50/298,299.29
  6. Step 6: Final answer
    x = 303,410.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.