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Finding the Fourth Proportional to 475,563.24, 656,344.86 and 294,333.54

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Solution

The fourth proportional to 475,563.24, 656,344.86 and 294,333.54 is: 406,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,563.24 : 656,344.86 = 294,333.54 : x
  2. Step 2: Convert to fraction form
    475,563.24/656,344.86 = 294,333.54/x
  3. Step 3: Cross multiply
    475,563.24x = 656,344.86 × 294,333.54
  4. Step 4: Simplify right side
    475,563.24x = 193,184,306,104.60
  5. Step 5: Solve for x
    x = 193,184,306,104.60/475,563.24
  6. Step 6: Final answer
    x = 406,222.12

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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.