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Finding the Fourth Proportional to 514,324.51, 771,270.36 and 194,422.57

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Solution

The fourth proportional to 514,324.51, 771,270.36 and 194,422.57 is: 291,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,324.51 : 771,270.36 = 194,422.57 : x
  2. Step 2: Convert to fraction form
    514,324.51/771,270.36 = 194,422.57/x
  3. Step 3: Cross multiply
    514,324.51x = 771,270.36 × 194,422.57
  4. Step 4: Simplify right side
    514,324.51x = 149,952,365,556.03
  5. Step 5: Solve for x
    x = 149,952,365,556.03/514,324.51
  6. Step 6: Final answer
    x = 291,552.05

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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.