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Finding the Fourth Proportional to 589,860, 814,005.84 and 335,211.36

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Solution

The fourth proportional to 589,860, 814,005.84 and 335,211.36 is: 462,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,860 : 814,005.84 = 335,211.36 : x
  2. Step 2: Convert to fraction form
    589,860/814,005.84 = 335,211.36/x
  3. Step 3: Cross multiply
    589,860x = 814,005.84 × 335,211.36
  4. Step 4: Simplify right side
    589,860x = 272,864,004,674.34
  5. Step 5: Solve for x
    x = 272,864,004,674.34/589,860
  6. Step 6: Final answer
    x = 462,591.13

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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.