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Finding the Fourth Proportional to 410,274, 566,178.84 and 231,426

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Solution

The fourth proportional to 410,274, 566,178.84 and 231,426 is: 319,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274 : 566,178.84 = 231,426 : x
  2. Step 2: Convert to fraction form
    410,274/566,178.84 = 231,426/x
  3. Step 3: Cross multiply
    410,274x = 566,178.84 × 231,426
  4. Step 4: Simplify right side
    410,274x = 131,028,504,225.84
  5. Step 5: Solve for x
    x = 131,028,504,225.84/410,274
  6. Step 6: Final answer
    x = 319,368.29

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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.