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Finding the Fourth Proportional to 274,622.40, 411,933.60 and 97,329.60

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Solution

The fourth proportional to 274,622.40, 411,933.60 and 97,329.60 is: 145,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,622.40 : 411,933.60 = 97,329.60 : x
  2. Step 2: Convert to fraction form
    274,622.40/411,933.60 = 97,329.60/x
  3. Step 3: Cross multiply
    274,622.40x = 411,933.60 × 97,329.60
  4. Step 4: Simplify right side
    274,622.40x = 40,093,332,514.56
  5. Step 5: Solve for x
    x = 40,093,332,514.56/274,622.40
  6. Step 6: Final answer
    x = 145,994.40

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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.