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Finding the Fourth Proportional to 458,804.40, 688,049.73 and 174,426.36

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Solution

The fourth proportional to 458,804.40, 688,049.73 and 174,426.36 is: 261,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,804.40 : 688,049.73 = 174,426.36 : x
  2. Step 2: Convert to fraction form
    458,804.40/688,049.73 = 174,426.36/x
  3. Step 3: Cross multiply
    458,804.40x = 688,049.73 × 174,426.36
  4. Step 4: Simplify right side
    458,804.40x = 120,014,009,902.88
  5. Step 5: Solve for x
    x = 120,014,009,902.88/458,804.40
  6. Step 6: Final answer
    x = 261,579.90

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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.