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Finding the Fourth Proportional to 475,566.24, 656,349 and 294,336.54

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Solution

The fourth proportional to 475,566.24, 656,349 and 294,336.54 is: 406,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,566.24 : 656,349 = 294,336.54 : x
  2. Step 2: Convert to fraction form
    475,566.24/656,349 = 294,336.54/x
  3. Step 3: Cross multiply
    475,566.24x = 656,349 × 294,336.54
  4. Step 4: Simplify right side
    475,566.24x = 193,187,493,692.46
  5. Step 5: Solve for x
    x = 193,187,493,692.46/475,566.24
  6. Step 6: Final answer
    x = 406,226.26

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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.