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Finding the Fourth Proportional to 291,511.02, 402,274.71 and 164,198.46

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Solution

The fourth proportional to 291,511.02, 402,274.71 and 164,198.46 is: 226,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,511.02 : 402,274.71 = 164,198.46 : x
  2. Step 2: Convert to fraction form
    291,511.02/402,274.71 = 164,198.46/x
  3. Step 3: Cross multiply
    291,511.02x = 402,274.71 × 164,198.46
  4. Step 4: Simplify right side
    291,511.02x = 66,052,887,878.95
  5. Step 5: Solve for x
    x = 66,052,887,878.95/291,511.02
  6. Step 6: Final answer
    x = 226,587.96

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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.