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Finding the Fourth Proportional to 523,663.05, 785,556.11 and 186,751.61

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Solution

The fourth proportional to 523,663.05, 785,556.11 and 186,751.61 is: 280,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,663.05 : 785,556.11 = 186,751.61 : x
  2. Step 2: Convert to fraction form
    523,663.05/785,556.11 = 186,751.61/x
  3. Step 3: Cross multiply
    523,663.05x = 785,556.11 × 186,751.61
  4. Step 4: Simplify right side
    523,663.05x = 146,703,868,287.84
  5. Step 5: Solve for x
    x = 146,703,868,287.84/523,663.05
  6. Step 6: Final answer
    x = 280,149.36

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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.