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Finding the Fourth Proportional to 299,603.11, 448,893.15 and 164,780.03

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Solution

The fourth proportional to 299,603.11, 448,893.15 and 164,780.03 is: 246,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,603.11 : 448,893.15 = 164,780.03 : x
  2. Step 2: Convert to fraction form
    299,603.11/448,893.15 = 164,780.03/x
  3. Step 3: Cross multiply
    299,603.11x = 448,893.15 × 164,780.03
  4. Step 4: Simplify right side
    299,603.11x = 73,968,623,655.43
  5. Step 5: Solve for x
    x = 73,968,623,655.43/299,603.11
  6. Step 6: Final answer
    x = 246,888.71

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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.