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Finding the Fourth Proportional to 354,298.41, 488,777.46 and 225,167.67

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Solution

The fourth proportional to 354,298.41, 488,777.46 and 225,167.67 is: 310,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,298.41 : 488,777.46 = 225,167.67 : x
  2. Step 2: Convert to fraction form
    354,298.41/488,777.46 = 225,167.67/x
  3. Step 3: Cross multiply
    354,298.41x = 488,777.46 × 225,167.67
  4. Step 4: Simplify right side
    354,298.41x = 110,056,881,816.72
  5. Step 5: Solve for x
    x = 110,056,881,816.72/354,298.41
  6. Step 6: Final answer
    x = 310,633.29

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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.