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Finding the Fourth Proportional to 590,185.76, 814,519.42 and 360,877.44

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Solution

The fourth proportional to 590,185.76, 814,519.42 and 360,877.44 is: 498,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,185.76 : 814,519.42 = 360,877.44 : x
  2. Step 2: Convert to fraction form
    590,185.76/814,519.42 = 360,877.44/x
  3. Step 3: Cross multiply
    590,185.76x = 814,519.42 × 360,877.44
  4. Step 4: Simplify right side
    590,185.76x = 293,941,683,119.89
  5. Step 5: Solve for x
    x = 293,941,683,119.89/590,185.76
  6. Step 6: Final answer
    x = 498,049.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.