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Finding the Fourth Proportional to 297,548.15, 446,387.84 and 97,860.47

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Solution

The fourth proportional to 297,548.15, 446,387.84 and 97,860.47 is: 146,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,548.15 : 446,387.84 = 97,860.47 : x
  2. Step 2: Convert to fraction form
    297,548.15/446,387.84 = 97,860.47/x
  3. Step 3: Cross multiply
    297,548.15x = 446,387.84 × 97,860.47
  4. Step 4: Simplify right side
    297,548.15x = 43,683,723,824.68
  5. Step 5: Solve for x
    x = 43,683,723,824.68/297,548.15
  6. Step 6: Final answer
    x = 146,812.29

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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.