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Finding the Fourth Proportional to 223,920.58, 334,242.61 and 197,349.46

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Solution

The fourth proportional to 223,920.58, 334,242.61 and 197,349.46 is: 294,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,920.58 : 334,242.61 = 197,349.46 : x
  2. Step 2: Convert to fraction form
    223,920.58/334,242.61 = 197,349.46/x
  3. Step 3: Cross multiply
    223,920.58x = 334,242.61 × 197,349.46
  4. Step 4: Simplify right side
    223,920.58x = 65,962,598,592.49
  5. Step 5: Solve for x
    x = 65,962,598,592.49/223,920.58
  6. Step 6: Final answer
    x = 294,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.