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Finding the Fourth Proportional to 354,322.22, 488,967.52 and 193,178.44

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Solution

The fourth proportional to 354,322.22, 488,967.52 and 193,178.44 is: 266,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,322.22 : 488,967.52 = 193,178.44 : x
  2. Step 2: Convert to fraction form
    354,322.22/488,967.52 = 193,178.44/x
  3. Step 3: Cross multiply
    354,322.22x = 488,967.52 × 193,178.44
  4. Step 4: Simplify right side
    354,322.22x = 94,457,982,724.27
  5. Step 5: Solve for x
    x = 94,457,982,724.27/354,322.22
  6. Step 6: Final answer
    x = 266,587.80

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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.