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Finding the Fourth Proportional to 411,768.80, 617,653.20 and 145,527.20

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Solution

The fourth proportional to 411,768.80, 617,653.20 and 145,527.20 is: 218,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,768.80 : 617,653.20 = 145,527.20 : x
  2. Step 2: Convert to fraction form
    411,768.80/617,653.20 = 145,527.20/x
  3. Step 3: Cross multiply
    411,768.80x = 617,653.20 × 145,527.20
  4. Step 4: Simplify right side
    411,768.80x = 89,885,340,767.04
  5. Step 5: Solve for x
    x = 89,885,340,767.04/411,768.80
  6. Step 6: Final answer
    x = 218,290.80

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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.