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Finding the Fourth Proportional to 589,672.82, 813,750.90 and 335,037.98

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Solution

The fourth proportional to 589,672.82, 813,750.90 and 335,037.98 is: 462,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,672.82 : 813,750.90 = 335,037.98 : x
  2. Step 2: Convert to fraction form
    589,672.82/813,750.90 = 335,037.98/x
  3. Step 3: Cross multiply
    589,672.82x = 813,750.90 × 335,037.98
  4. Step 4: Simplify right side
    589,672.82x = 272,637,457,759.18
  5. Step 5: Solve for x
    x = 272,637,457,759.18/589,672.82
  6. Step 6: Final answer
    x = 462,353.78

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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.