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Finding the Fourth Proportional to 508,334.86, 762,507.77 and 153,351.96

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Solution

The fourth proportional to 508,334.86, 762,507.77 and 153,351.96 is: 230,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,334.86 : 762,507.77 = 153,351.96 : x
  2. Step 2: Convert to fraction form
    508,334.86/762,507.77 = 153,351.96/x
  3. Step 3: Cross multiply
    508,334.86x = 762,507.77 × 153,351.96
  4. Step 4: Simplify right side
    508,334.86x = 116,932,061,044.73
  5. Step 5: Solve for x
    x = 116,932,061,044.73/508,334.86
  6. Step 6: Final answer
    x = 230,029.59

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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.