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Finding the Fourth Proportional to 462,099.44, 637,674.39 and 258,109.76

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Solution

The fourth proportional to 462,099.44, 637,674.39 and 258,109.76 is: 356,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099.44 : 637,674.39 = 258,109.76 : x
  2. Step 2: Convert to fraction form
    462,099.44/637,674.39 = 258,109.76/x
  3. Step 3: Cross multiply
    462,099.44x = 637,674.39 × 258,109.76
  4. Step 4: Simplify right side
    462,099.44x = 164,589,983,761.05
  5. Step 5: Solve for x
    x = 164,589,983,761.05/462,099.44
  6. Step 6: Final answer
    x = 356,178.71

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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.