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Finding the Fourth Proportional to 510,942.75, 705,066.96 and 296,044.48

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Solution

The fourth proportional to 510,942.75, 705,066.96 and 296,044.48 is: 408,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,942.75 : 705,066.96 = 296,044.48 : x
  2. Step 2: Convert to fraction form
    510,942.75/705,066.96 = 296,044.48/x
  3. Step 3: Cross multiply
    510,942.75x = 705,066.96 × 296,044.48
  4. Step 4: Simplify right side
    510,942.75x = 208,731,181,538.38
  5. Step 5: Solve for x
    x = 208,731,181,538.38/510,942.75
  6. Step 6: Final answer
    x = 408,521.66

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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.