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Finding the Fourth Proportional to 550,397.07, 825,507 and 150,945.12

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Solution

The fourth proportional to 550,397.07, 825,507 and 150,945.12 is: 226,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,397.07 : 825,507 = 150,945.12 : x
  2. Step 2: Convert to fraction form
    550,397.07/825,507 = 150,945.12/x
  3. Step 3: Cross multiply
    550,397.07x = 825,507 × 150,945.12
  4. Step 4: Simplify right side
    550,397.07x = 124,606,253,175.84
  5. Step 5: Solve for x
    x = 124,606,253,175.84/550,397.07
  6. Step 6: Final answer
    x = 226,393.38

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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.