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Finding the Fourth Proportional to 297,142.40, 445,714.56 and 75,526.40

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Solution

The fourth proportional to 297,142.40, 445,714.56 and 75,526.40 is: 113,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,142.40 : 445,714.56 = 75,526.40 : x
  2. Step 2: Convert to fraction form
    297,142.40/445,714.56 = 75,526.40/x
  3. Step 3: Cross multiply
    297,142.40x = 445,714.56 × 75,526.40
  4. Step 4: Simplify right side
    297,142.40x = 33,663,216,144.38
  5. Step 5: Solve for x
    x = 33,663,216,144.38/297,142.40
  6. Step 6: Final answer
    x = 113,289.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.