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Finding the Fourth Proportional to 274,303.44, 411,488.04 and 96,773.76

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Solution

The fourth proportional to 274,303.44, 411,488.04 and 96,773.76 is: 145,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,303.44 : 411,488.04 = 96,773.76 : x
  2. Step 2: Convert to fraction form
    274,303.44/411,488.04 = 96,773.76/x
  3. Step 3: Cross multiply
    274,303.44x = 411,488.04 × 96,773.76
  4. Step 4: Simplify right side
    274,303.44x = 39,821,244,825.83
  5. Step 5: Solve for x
    x = 39,821,244,825.83/274,303.44
  6. Step 6: Final answer
    x = 145,172.24

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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.