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Finding the Fourth Proportional to 361,765, 499,235.70 and 202,789

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Solution

The fourth proportional to 361,765, 499,235.70 and 202,789 is: 279,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,765 : 499,235.70 = 202,789 : x
  2. Step 2: Convert to fraction form
    361,765/499,235.70 = 202,789/x
  3. Step 3: Cross multiply
    361,765x = 499,235.70 × 202,789
  4. Step 4: Simplify right side
    361,765x = 101,239,508,367.30
  5. Step 5: Solve for x
    x = 101,239,508,367.30/361,765
  6. Step 6: Final answer
    x = 279,848.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.