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Finding the Fourth Proportional to 357,258.08, 493,021.74 and 196,127.82

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Solution

The fourth proportional to 357,258.08, 493,021.74 and 196,127.82 is: 270,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,258.08 : 493,021.74 = 196,127.82 : x
  2. Step 2: Convert to fraction form
    357,258.08/493,021.74 = 196,127.82/x
  3. Step 3: Cross multiply
    357,258.08x = 493,021.74 × 196,127.82
  4. Step 4: Simplify right side
    357,258.08x = 96,695,279,078.81
  5. Step 5: Solve for x
    x = 96,695,279,078.81/357,258.08
  6. Step 6: Final answer
    x = 270,659.46

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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.