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Finding the Fourth Proportional to 198,644.40, 297,969.84 and 58,417.20

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Solution

The fourth proportional to 198,644.40, 297,969.84 and 58,417.20 is: 87,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,644.40 : 297,969.84 = 58,417.20 : x
  2. Step 2: Convert to fraction form
    198,644.40/297,969.84 = 58,417.20/x
  3. Step 3: Cross multiply
    198,644.40x = 297,969.84 × 58,417.20
  4. Step 4: Simplify right side
    198,644.40x = 17,406,563,737.25
  5. Step 5: Solve for x
    x = 17,406,563,737.25/198,644.40
  6. Step 6: Final answer
    x = 87,626.75

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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.