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Finding the Fourth Proportional to 299,603.36, 448,893.52 and 164,780.28

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Solution

The fourth proportional to 299,603.36, 448,893.52 and 164,780.28 is: 246,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,603.36 : 448,893.52 = 164,780.28 : x
  2. Step 2: Convert to fraction form
    299,603.36/448,893.52 = 164,780.28/x
  3. Step 3: Cross multiply
    299,603.36x = 448,893.52 × 164,780.28
  4. Step 4: Simplify right side
    299,603.36x = 73,968,796,847.42
  5. Step 5: Solve for x
    x = 73,968,796,847.42/299,603.36
  6. Step 6: Final answer
    x = 246,889.08

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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.