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Finding the Fourth Proportional to 510,842.26, 766,438.44 and 195,389.38

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Solution

The fourth proportional to 510,842.26, 766,438.44 and 195,389.38 is: 293,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,842.26 : 766,438.44 = 195,389.38 : x
  2. Step 2: Convert to fraction form
    510,842.26/766,438.44 = 195,389.38/x
  3. Step 3: Cross multiply
    510,842.26x = 766,438.44 × 195,389.38
  4. Step 4: Simplify right side
    510,842.26x = 149,753,931,599.77
  5. Step 5: Solve for x
    x = 149,753,931,599.77/510,842.26
  6. Step 6: Final answer
    x = 293,151.02

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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.