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Finding the Fourth Proportional to 493,206.20, 680,624.50 and 266,851.72

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Solution

The fourth proportional to 493,206.20, 680,624.50 and 266,851.72 is: 368,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,206.20 : 680,624.50 = 266,851.72 : x
  2. Step 2: Convert to fraction form
    493,206.20/680,624.50 = 266,851.72/x
  3. Step 3: Cross multiply
    493,206.20x = 680,624.50 × 266,851.72
  4. Step 4: Simplify right side
    493,206.20x = 181,625,818,499.14
  5. Step 5: Solve for x
    x = 181,625,818,499.14/493,206.20
  6. Step 6: Final answer
    x = 368,255.34

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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.