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Finding the Fourth Proportional to 274,570.68, 411,698.36 and 146,329.14

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Solution

The fourth proportional to 274,570.68, 411,698.36 and 146,329.14 is: 219,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.68 : 411,698.36 = 146,329.14 : x
  2. Step 2: Convert to fraction form
    274,570.68/411,698.36 = 146,329.14/x
  3. Step 3: Cross multiply
    274,570.68x = 411,698.36 × 146,329.14
  4. Step 4: Simplify right side
    274,570.68x = 60,243,466,958.21
  5. Step 5: Solve for x
    x = 60,243,466,958.21/274,570.68
  6. Step 6: Final answer
    x = 219,409.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.