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Finding the Fourth Proportional to 493,310.16, 680,770.14 and 266,955.66

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Solution

The fourth proportional to 493,310.16, 680,770.14 and 266,955.66 is: 368,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.16 : 680,770.14 = 266,955.66 : x
  2. Step 2: Convert to fraction form
    493,310.16/680,770.14 = 266,955.66/x
  3. Step 3: Cross multiply
    493,310.16x = 680,770.14 × 266,955.66
  4. Step 4: Simplify right side
    493,310.16x = 181,735,442,031.99
  5. Step 5: Solve for x
    x = 181,735,442,031.99/493,310.16
  6. Step 6: Final answer
    x = 368,399.96

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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.