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Finding the Fourth Proportional to 274,658.40, 411,987.60 and 97,365.60

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Solution

The fourth proportional to 274,658.40, 411,987.60 and 97,365.60 is: 146,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,658.40 : 411,987.60 = 97,365.60 : x
  2. Step 2: Convert to fraction form
    274,658.40/411,987.60 = 97,365.60/x
  3. Step 3: Cross multiply
    274,658.40x = 411,987.60 × 97,365.60
  4. Step 4: Simplify right side
    274,658.40x = 40,113,419,866.56
  5. Step 5: Solve for x
    x = 40,113,419,866.56/274,658.40
  6. Step 6: Final answer
    x = 146,048.40

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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.