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Finding the Fourth Proportional to 589,908.22, 814,135.80 and 360,599.72

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Solution

The fourth proportional to 589,908.22, 814,135.80 and 360,599.72 is: 497,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,908.22 : 814,135.80 = 360,599.72 : x
  2. Step 2: Convert to fraction form
    589,908.22/814,135.80 = 360,599.72/x
  3. Step 3: Cross multiply
    589,908.22x = 814,135.80 × 360,599.72
  4. Step 4: Simplify right side
    589,908.22x = 293,577,141,521.98
  5. Step 5: Solve for x
    x = 293,577,141,521.98/589,908.22
  6. Step 6: Final answer
    x = 497,665.79

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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.