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Finding the Fourth Proportional to 313,757.51, 469,473.50 and 187,466.47

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Solution

The fourth proportional to 313,757.51, 469,473.50 and 187,466.47 is: 280,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,757.51 : 469,473.50 = 187,466.47 : x
  2. Step 2: Convert to fraction form
    313,757.51/469,473.50 = 187,466.47/x
  3. Step 3: Cross multiply
    313,757.51x = 469,473.50 × 187,466.47
  4. Step 4: Simplify right side
    313,757.51x = 88,010,539,098.53
  5. Step 5: Solve for x
    x = 88,010,539,098.53/313,757.51
  6. Step 6: Final answer
    x = 280,504.97

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1.5x scale

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.