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Finding the Fourth Proportional to 510,736.86, 766,076.13 and 195,225.66

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Solution

The fourth proportional to 510,736.86, 766,076.13 and 195,225.66 is: 292,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,736.86 : 766,076.13 = 195,225.66 : x
  2. Step 2: Convert to fraction form
    510,736.86/766,076.13 = 195,225.66/x
  3. Step 3: Cross multiply
    510,736.86x = 766,076.13 × 195,225.66
  4. Step 4: Simplify right side
    510,736.86x = 149,557,718,089.50
  5. Step 5: Solve for x
    x = 149,557,718,089.50/510,736.86
  6. Step 6: Final answer
    x = 292,827.34

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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.