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Finding the Fourth Proportional to 299,261.12, 448,384.21 and 180,683.39

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Solution

The fourth proportional to 299,261.12, 448,384.21 and 180,683.39 is: 270,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,261.12 : 448,384.21 = 180,683.39 : x
  2. Step 2: Convert to fraction form
    299,261.12/448,384.21 = 180,683.39/x
  3. Step 3: Cross multiply
    299,261.12x = 448,384.21 × 180,683.39
  4. Step 4: Simplify right side
    299,261.12x = 81,015,579,754.52
  5. Step 5: Solve for x
    x = 81,015,579,754.52/299,261.12
  6. Step 6: Final answer
    x = 270,718.70

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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.