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Finding the Fourth Proportional to 556,665.89, 768,198.94 and 314,943.26

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Solution

The fourth proportional to 556,665.89, 768,198.94 and 314,943.26 is: 434,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,665.89 : 768,198.94 = 314,943.26 : x
  2. Step 2: Convert to fraction form
    556,665.89/768,198.94 = 314,943.26/x
  3. Step 3: Cross multiply
    556,665.89x = 768,198.94 × 314,943.26
  4. Step 4: Simplify right side
    556,665.89x = 241,939,073,863.79
  5. Step 5: Solve for x
    x = 241,939,073,863.79/556,665.89
  6. Step 6: Final answer
    x = 434,621.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.