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Finding the Fourth Proportional to 274,430.80, 411,646.20 and 134,462.80

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Solution

The fourth proportional to 274,430.80, 411,646.20 and 134,462.80 is: 201,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,430.80 : 411,646.20 = 134,462.80 : x
  2. Step 2: Convert to fraction form
    274,430.80/411,646.20 = 134,462.80/x
  3. Step 3: Cross multiply
    274,430.80x = 411,646.20 × 134,462.80
  4. Step 4: Simplify right side
    274,430.80x = 55,351,100,661.36
  5. Step 5: Solve for x
    x = 55,351,100,661.36/274,430.80
  6. Step 6: Final answer
    x = 201,694.20

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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.