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Finding the Fourth Proportional to 281,165.60, 421,281.82 and 197,884.64

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Solution

The fourth proportional to 281,165.60, 421,281.82 and 197,884.64 is: 296,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,165.60 : 421,281.82 = 197,884.64 : x
  2. Step 2: Convert to fraction form
    281,165.60/421,281.82 = 197,884.64/x
  3. Step 3: Cross multiply
    281,165.60x = 421,281.82 × 197,884.64
  4. Step 4: Simplify right side
    281,165.60x = 83,365,201,289.24
  5. Step 5: Solve for x
    x = 83,365,201,289.24/281,165.60
  6. Step 6: Final answer
    x = 296,498.58

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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.