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Finding the Fourth Proportional to 407,175.49, 610,763.24 and 220,551.49

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Solution

The fourth proportional to 407,175.49, 610,763.24 and 220,551.49 is: 330,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,175.49 : 610,763.24 = 220,551.49 : x
  2. Step 2: Convert to fraction form
    407,175.49/610,763.24 = 220,551.49/x
  3. Step 3: Cross multiply
    407,175.49x = 610,763.24 × 220,551.49
  4. Step 4: Simplify right side
    407,175.49x = 134,704,741,516.47
  5. Step 5: Solve for x
    x = 134,704,741,516.47/407,175.49
  6. Step 6: Final answer
    x = 330,827.24

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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.