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Finding the Fourth Proportional to 507,214.74, 760,872.91 and 187,450.66

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Solution

The fourth proportional to 507,214.74, 760,872.91 and 187,450.66 is: 281,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,214.74 : 760,872.91 = 187,450.66 : x
  2. Step 2: Convert to fraction form
    507,214.74/760,872.91 = 187,450.66/x
  3. Step 3: Cross multiply
    507,214.74x = 760,872.91 × 187,450.66
  4. Step 4: Simplify right side
    507,214.74x = 142,626,129,155.62
  5. Step 5: Solve for x
    x = 142,626,129,155.62/507,214.74
  6. Step 6: Final answer
    x = 281,194.76

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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.