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Finding the Fourth Proportional to 299,643.52, 448,953.63 and 164,820.38

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Solution

The fourth proportional to 299,643.52, 448,953.63 and 164,820.38 is: 246,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,643.52 : 448,953.63 = 164,820.38 : x
  2. Step 2: Convert to fraction form
    299,643.52/448,953.63 = 164,820.38/x
  3. Step 3: Cross multiply
    299,643.52x = 448,953.63 × 164,820.38
  4. Step 4: Simplify right side
    299,643.52x = 73,996,707,898.98
  5. Step 5: Solve for x
    x = 73,996,707,898.98/299,643.52
  6. Step 6: Final answer
    x = 246,949.13

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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.