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Finding the Fourth Proportional to 331,059.65, 496,541.68 and 106,390.76

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Solution

The fourth proportional to 331,059.65, 496,541.68 and 106,390.76 is: 159,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,059.65 : 496,541.68 = 106,390.76 : x
  2. Step 2: Convert to fraction form
    331,059.65/496,541.68 = 106,390.76/x
  3. Step 3: Cross multiply
    331,059.65x = 496,541.68 × 106,390.76
  4. Step 4: Simplify right side
    331,059.65x = 52,827,443,958.19
  5. Step 5: Solve for x
    x = 52,827,443,958.19/331,059.65
  6. Step 6: Final answer
    x = 159,570.77

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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.