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Finding the Fourth Proportional to 461,388.67, 692,185.47 and 141,584.88

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Solution

The fourth proportional to 461,388.67, 692,185.47 and 141,584.88 is: 212,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,388.67 : 692,185.47 = 141,584.88 : x
  2. Step 2: Convert to fraction form
    461,388.67/692,185.47 = 141,584.88/x
  3. Step 3: Cross multiply
    461,388.67x = 692,185.47 × 141,584.88
  4. Step 4: Simplify right side
    461,388.67x = 98,002,996,707.69
  5. Step 5: Solve for x
    x = 98,002,996,707.69/461,388.67
  6. Step 6: Final answer
    x = 212,408.76

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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.