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Finding the Fourth Proportional to 458,778.16, 688,167.24 and 143,262.12

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Solution

The fourth proportional to 458,778.16, 688,167.24 and 143,262.12 is: 214,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,778.16 : 688,167.24 = 143,262.12 : x
  2. Step 2: Convert to fraction form
    458,778.16/688,167.24 = 143,262.12/x
  3. Step 3: Cross multiply
    458,778.16x = 688,167.24 × 143,262.12
  4. Step 4: Simplify right side
    458,778.16x = 98,588,297,716.95
  5. Step 5: Solve for x
    x = 98,588,297,716.95/458,778.16
  6. Step 6: Final answer
    x = 214,893.18

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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.