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Finding the Fourth Proportional to 566,099.08, 849,287.34 and 465,067.96

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Solution

The fourth proportional to 566,099.08, 849,287.34 and 465,067.96 is: 697,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,099.08 : 849,287.34 = 465,067.96 : x
  2. Step 2: Convert to fraction form
    566,099.08/849,287.34 = 465,067.96/x
  3. Step 3: Cross multiply
    566,099.08x = 849,287.34 × 465,067.96
  4. Step 4: Simplify right side
    566,099.08x = 394,976,330,667.63
  5. Step 5: Solve for x
    x = 394,976,330,667.63/566,099.08
  6. Step 6: Final answer
    x = 697,715.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.