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Finding the Fourth Proportional to 941,134, 1,298,764.92 and 517,198

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Solution

The fourth proportional to 941,134, 1,298,764.92 and 517,198 is: 713,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,134 : 1,298,764.92 = 517,198 : x
  2. Step 2: Convert to fraction form
    941,134/1,298,764.92 = 517,198/x
  3. Step 3: Cross multiply
    941,134x = 1,298,764.92 × 517,198
  4. Step 4: Simplify right side
    941,134x = 671,718,619,094.16
  5. Step 5: Solve for x
    x = 671,718,619,094.16/941,134
  6. Step 6: Final answer
    x = 713,733.24

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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.