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Finding the Fourth Proportional to 465,492.78, 697,270.39 and 296,174.38

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Solution

The fourth proportional to 465,492.78, 697,270.39 and 296,174.38 is: 443,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,492.78 : 697,270.39 = 296,174.38 : x
  2. Step 2: Convert to fraction form
    465,492.78/697,270.39 = 296,174.38/x
  3. Step 3: Cross multiply
    465,492.78x = 697,270.39 × 296,174.38
  4. Step 4: Simplify right side
    465,492.78x = 206,513,623,979.29
  5. Step 5: Solve for x
    x = 206,513,623,979.29/465,492.78
  6. Step 6: Final answer
    x = 443,645.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.