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Finding the Fourth Proportional to 510,873.03, 766,333.85 and 195,356.97

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Solution

The fourth proportional to 510,873.03, 766,333.85 and 195,356.97 is: 293,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,873.03 : 766,333.85 = 195,356.97 : x
  2. Step 2: Convert to fraction form
    510,873.03/766,333.85 = 195,356.97/x
  3. Step 3: Cross multiply
    510,873.03x = 766,333.85 × 195,356.97
  4. Step 4: Simplify right side
    510,873.03x = 149,708,657,967.65
  5. Step 5: Solve for x
    x = 149,708,657,967.65/510,873.03
  6. Step 6: Final answer
    x = 293,044.75

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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.