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Finding the Fourth Proportional to 659,419.70, 988,912.64 and 232,878.14

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Solution

The fourth proportional to 659,419.70, 988,912.64 and 232,878.14 is: 349,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,419.70 : 988,912.64 = 232,878.14 : x
  2. Step 2: Convert to fraction form
    659,419.70/988,912.64 = 232,878.14/x
  3. Step 3: Cross multiply
    659,419.70x = 988,912.64 × 232,878.14
  4. Step 4: Simplify right side
    659,419.70x = 230,296,136,225.69
  5. Step 5: Solve for x
    x = 230,296,136,225.69/659,419.70
  6. Step 6: Final answer
    x = 349,240.61

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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.