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Finding the Fourth Proportional to 299,384.52, 449,083.14 and 107,271.46

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Solution

The fourth proportional to 299,384.52, 449,083.14 and 107,271.46 is: 160,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,384.52 : 449,083.14 = 107,271.46 : x
  2. Step 2: Convert to fraction form
    299,384.52/449,083.14 = 107,271.46/x
  3. Step 3: Cross multiply
    299,384.52x = 449,083.14 × 107,271.46
  4. Step 4: Simplify right side
    299,384.52x = 48,173,802,966.48
  5. Step 5: Solve for x
    x = 48,173,802,966.48/299,384.52
  6. Step 6: Final answer
    x = 160,909.47

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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.