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Finding the Fourth Proportional to 297,542.80, 446,357.40 and 97,872.40

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Solution

The fourth proportional to 297,542.80, 446,357.40 and 97,872.40 is: 146,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,542.80 : 446,357.40 = 97,872.40 : x
  2. Step 2: Convert to fraction form
    297,542.80/446,357.40 = 97,872.40/x
  3. Step 3: Cross multiply
    297,542.80x = 446,357.40 × 97,872.40
  4. Step 4: Simplify right side
    297,542.80x = 43,686,069,995.76
  5. Step 5: Solve for x
    x = 43,686,069,995.76/297,542.80
  6. Step 6: Final answer
    x = 146,822.81

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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.