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Finding the Fourth Proportional to 417,506.49, 576,158.99 and 226,519.89

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Solution

The fourth proportional to 417,506.49, 576,158.99 and 226,519.89 is: 312,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,506.49 : 576,158.99 = 226,519.89 : x
  2. Step 2: Convert to fraction form
    417,506.49/576,158.99 = 226,519.89/x
  3. Step 3: Cross multiply
    417,506.49x = 576,158.99 × 226,519.89
  4. Step 4: Simplify right side
    417,506.49x = 130,511,469,904.71
  5. Step 5: Solve for x
    x = 130,511,469,904.71/417,506.49
  6. Step 6: Final answer
    x = 312,597.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.