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Finding the Fourth Proportional to 475,597.24, 656,391.78 and 294,367.60

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Solution

The fourth proportional to 475,597.24, 656,391.78 and 294,367.60 is: 406,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,597.24 : 656,391.78 = 294,367.60 : x
  2. Step 2: Convert to fraction form
    475,597.24/656,391.78 = 294,367.60/x
  3. Step 3: Cross multiply
    475,597.24x = 656,391.78 × 294,367.60
  4. Step 4: Simplify right side
    475,597.24x = 193,220,472,938.33
  5. Step 5: Solve for x
    x = 193,220,472,938.33/475,597.24
  6. Step 6: Final answer
    x = 406,269.12

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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.