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Finding the Fourth Proportional to 341,274.38, 471,129.14 and 212,254.44

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Solution

The fourth proportional to 341,274.38, 471,129.14 and 212,254.44 is: 293,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,274.38 : 471,129.14 = 212,254.44 : x
  2. Step 2: Convert to fraction form
    341,274.38/471,129.14 = 212,254.44/x
  3. Step 3: Cross multiply
    341,274.38x = 471,129.14 × 212,254.44
  4. Step 4: Simplify right side
    341,274.38x = 99,999,252,309.02
  5. Step 5: Solve for x
    x = 99,999,252,309.02/341,274.38
  6. Step 6: Final answer
    x = 293,017.17

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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.