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Finding the Fourth Proportional to 319,829, 441,402.90 and 185,693

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Solution

The fourth proportional to 319,829, 441,402.90 and 185,693 is: 256,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,829 : 441,402.90 = 185,693 : x
  2. Step 2: Convert to fraction form
    319,829/441,402.90 = 185,693/x
  3. Step 3: Cross multiply
    319,829x = 441,402.90 × 185,693
  4. Step 4: Simplify right side
    319,829x = 81,965,428,709.70
  5. Step 5: Solve for x
    x = 81,965,428,709.70/319,829
  6. Step 6: Final answer
    x = 256,278.91

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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.