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Finding the Fourth Proportional to 471,706.30, 707,849.54 and 187,347.10

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Solution

The fourth proportional to 471,706.30, 707,849.54 and 187,347.10 is: 281,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,706.30 : 707,849.54 = 187,347.10 : x
  2. Step 2: Convert to fraction form
    471,706.30/707,849.54 = 187,347.10/x
  3. Step 3: Cross multiply
    471,706.30x = 707,849.54 × 187,347.10
  4. Step 4: Simplify right side
    471,706.30x = 132,613,558,555.33
  5. Step 5: Solve for x
    x = 132,613,558,555.33/471,706.30
  6. Step 6: Final answer
    x = 281,135.86

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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.