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Finding the Fourth Proportional to 589,393.82, 813,461.74 and 347,736.26

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Solution

The fourth proportional to 589,393.82, 813,461.74 and 347,736.26 is: 479,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,393.82 : 813,461.74 = 347,736.26 : x
  2. Step 2: Convert to fraction form
    589,393.82/813,461.74 = 347,736.26/x
  3. Step 3: Cross multiply
    589,393.82x = 813,461.74 × 347,736.26
  4. Step 4: Simplify right side
    589,393.82x = 282,870,143,120.69
  5. Step 5: Solve for x
    x = 282,870,143,120.69/589,393.82
  6. Step 6: Final answer
    x = 479,934.02

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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.