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Finding the Fourth Proportional to 475,478.48, 656,227.49 and 294,248.72

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Solution

The fourth proportional to 475,478.48, 656,227.49 and 294,248.72 is: 406,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,478.48 : 656,227.49 = 294,248.72 : x
  2. Step 2: Convert to fraction form
    475,478.48/656,227.49 = 294,248.72/x
  3. Step 3: Cross multiply
    475,478.48x = 656,227.49 × 294,248.72
  4. Step 4: Simplify right side
    475,478.48x = 193,094,094,208.93
  5. Step 5: Solve for x
    x = 193,094,094,208.93/475,478.48
  6. Step 6: Final answer
    x = 406,104.81

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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.