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Finding the Fourth Proportional to 297,253.76, 445,927.11 and 97,528.72

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Solution

The fourth proportional to 297,253.76, 445,927.11 and 97,528.72 is: 146,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,253.76 : 445,927.11 = 97,528.72 : x
  2. Step 2: Convert to fraction form
    297,253.76/445,927.11 = 97,528.72/x
  3. Step 3: Cross multiply
    297,253.76x = 445,927.11 × 97,528.72
  4. Step 4: Simplify right side
    297,253.76x = 43,490,700,251.60
  5. Step 5: Solve for x
    x = 43,490,700,251.60/297,253.76
  6. Step 6: Final answer
    x = 146,308.33

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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.