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Finding the Fourth Proportional to 458,804.31, 688,049.59 and 174,426.27

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Solution

The fourth proportional to 458,804.31, 688,049.59 and 174,426.27 is: 261,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,804.31 : 688,049.59 = 174,426.27 : x
  2. Step 2: Convert to fraction form
    458,804.31/688,049.59 = 174,426.27/x
  3. Step 3: Cross multiply
    458,804.31x = 688,049.59 × 174,426.27
  4. Step 4: Simplify right side
    458,804.31x = 120,013,920,869.53
  5. Step 5: Solve for x
    x = 120,013,920,869.53/458,804.31
  6. Step 6: Final answer
    x = 261,579.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.