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Finding the Fourth Proportional to 458,163.36, 686,830.32 and 162,606.24

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Solution

The fourth proportional to 458,163.36, 686,830.32 and 162,606.24 is: 243,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,163.36 : 686,830.32 = 162,606.24 : x
  2. Step 2: Convert to fraction form
    458,163.36/686,830.32 = 162,606.24/x
  3. Step 3: Cross multiply
    458,163.36x = 686,830.32 × 162,606.24
  4. Step 4: Simplify right side
    458,163.36x = 111,682,895,853.20
  5. Step 5: Solve for x
    x = 111,682,895,853.20/458,163.36
  6. Step 6: Final answer
    x = 243,762.17

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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.