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Finding the Fourth Proportional to 602,843.31, 904,264.43 and 182,119.05

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Solution

The fourth proportional to 602,843.31, 904,264.43 and 182,119.05 is: 273,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,843.31 : 904,264.43 = 182,119.05 : x
  2. Step 2: Convert to fraction form
    602,843.31/904,264.43 = 182,119.05/x
  3. Step 3: Cross multiply
    602,843.31x = 904,264.43 × 182,119.05
  4. Step 4: Simplify right side
    602,843.31x = 164,683,778,029.80
  5. Step 5: Solve for x
    x = 164,683,778,029.80/602,843.31
  6. Step 6: Final answer
    x = 273,178.41

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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.