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Finding the Fourth Proportional to 274,406.58, 411,658.83 and 97,016.58

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Solution

The fourth proportional to 274,406.58, 411,658.83 and 97,016.58 is: 145,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,406.58 : 411,658.83 = 97,016.58 : x
  2. Step 2: Convert to fraction form
    274,406.58/411,658.83 = 97,016.58/x
  3. Step 3: Cross multiply
    274,406.58x = 411,658.83 × 97,016.58
  4. Step 4: Simplify right side
    274,406.58x = 39,937,731,813.40
  5. Step 5: Solve for x
    x = 39,937,731,813.40/274,406.58
  6. Step 6: Final answer
    x = 145,542.18

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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.