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Finding the Fourth Proportional to 471,523.26, 707,026.41 and 186,925.50

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Solution

The fourth proportional to 471,523.26, 707,026.41 and 186,925.50 is: 280,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.26 : 707,026.41 = 186,925.50 : x
  2. Step 2: Convert to fraction form
    471,523.26/707,026.41 = 186,925.50/x
  3. Step 3: Cross multiply
    471,523.26x = 707,026.41 × 186,925.50
  4. Step 4: Simplify right side
    471,523.26x = 132,161,265,202.46
  5. Step 5: Solve for x
    x = 132,161,265,202.46/471,523.26
  6. Step 6: Final answer
    x = 280,285.78

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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.