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Finding the Fourth Proportional to 356,284.30, 491,680.28 and 203,319.45

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Solution

The fourth proportional to 356,284.30, 491,680.28 and 203,319.45 is: 280,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,284.30 : 491,680.28 = 203,319.45 : x
  2. Step 2: Convert to fraction form
    356,284.30/491,680.28 = 203,319.45/x
  3. Step 3: Cross multiply
    356,284.30x = 491,680.28 × 203,319.45
  4. Step 4: Simplify right side
    356,284.30x = 99,968,164,105.45
  5. Step 5: Solve for x
    x = 99,968,164,105.45/356,284.30
  6. Step 6: Final answer
    x = 280,585.38

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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.