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Finding the Fourth Proportional to 475,486.92, 656,239.23 and 294,257.25

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Solution

The fourth proportional to 475,486.92, 656,239.23 and 294,257.25 is: 406,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,486.92 : 656,239.23 = 294,257.25 : x
  2. Step 2: Convert to fraction form
    475,486.92/656,239.23 = 294,257.25/x
  3. Step 3: Cross multiply
    475,486.92x = 656,239.23 × 294,257.25
  4. Step 4: Simplify right side
    475,486.92x = 193,103,151,161.92
  5. Step 5: Solve for x
    x = 193,103,151,161.92/475,486.92
  6. Step 6: Final answer
    x = 406,116.64

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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.