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Finding the Fourth Proportional to 281,162.60, 421,277.32 and 197,881.64

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Solution

The fourth proportional to 281,162.60, 421,277.32 and 197,881.64 is: 296,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,162.60 : 421,277.32 = 197,881.64 : x
  2. Step 2: Convert to fraction form
    281,162.60/421,277.32 = 197,881.64/x
  3. Step 3: Cross multiply
    281,162.60x = 421,277.32 × 197,881.64
  4. Step 4: Simplify right side
    281,162.60x = 83,363,046,976.40
  5. Step 5: Solve for x
    x = 83,363,046,976.40/281,162.60
  6. Step 6: Final answer
    x = 296,494.08

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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.