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Finding the Fourth Proportional to 299,438.76, 413,294.98 and 197,482.64

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Solution

The fourth proportional to 299,438.76, 413,294.98 and 197,482.64 is: 272,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,438.76 : 413,294.98 = 197,482.64 : x
  2. Step 2: Convert to fraction form
    299,438.76/413,294.98 = 197,482.64/x
  3. Step 3: Cross multiply
    299,438.76x = 413,294.98 × 197,482.64
  4. Step 4: Simplify right side
    299,438.76x = 81,618,583,749.15
  5. Step 5: Solve for x
    x = 81,618,583,749.15/299,438.76
  6. Step 6: Final answer
    x = 272,571.87

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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.