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Finding the Fourth Proportional to 665,065.60, 996,942.30 and 327,830.20

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Solution

The fourth proportional to 665,065.60, 996,942.30 and 327,830.20 is: 491,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,065.60 : 996,942.30 = 327,830.20 : x
  2. Step 2: Convert to fraction form
    665,065.60/996,942.30 = 327,830.20/x
  3. Step 3: Cross multiply
    665,065.60x = 996,942.30 × 327,830.20
  4. Step 4: Simplify right side
    665,065.60x = 326,827,793,597.46
  5. Step 5: Solve for x
    x = 326,827,793,597.46/665,065.60
  6. Step 6: Final answer
    x = 491,421.89

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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.