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Finding the Fourth Proportional to 589,767.84, 813,896.82 and 335,129.76

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Solution

The fourth proportional to 589,767.84, 813,896.82 and 335,129.76 is: 462,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,767.84 : 813,896.82 = 335,129.76 : x
  2. Step 2: Convert to fraction form
    589,767.84/813,896.82 = 335,129.76/x
  3. Step 3: Cross multiply
    589,767.84x = 813,896.82 × 335,129.76
  4. Step 4: Simplify right side
    589,767.84x = 272,761,045,951.36
  5. Step 5: Solve for x
    x = 272,761,045,951.36/589,767.84
  6. Step 6: Final answer
    x = 462,488.84

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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.