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Finding the Fourth Proportional to 417,678.82, 576,396.68 and 226,692.23

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Solution

The fourth proportional to 417,678.82, 576,396.68 and 226,692.23 is: 312,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.82 : 576,396.68 = 226,692.23 : x
  2. Step 2: Convert to fraction form
    417,678.82/576,396.68 = 226,692.23/x
  3. Step 3: Cross multiply
    417,678.82x = 576,396.68 × 226,692.23
  4. Step 4: Simplify right side
    417,678.82x = 130,664,644,738.35
  5. Step 5: Solve for x
    x = 130,664,644,738.35/417,678.82
  6. Step 6: Final answer
    x = 312,835.22

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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.