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Finding the Fourth Proportional to 331,913.72, 497,870.68 and 82,595.72

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Solution

The fourth proportional to 331,913.72, 497,870.68 and 82,595.72 is: 123,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,913.72 : 497,870.68 = 82,595.72 : x
  2. Step 2: Convert to fraction form
    331,913.72/497,870.68 = 82,595.72/x
  3. Step 3: Cross multiply
    331,913.72x = 497,870.68 × 82,595.72
  4. Step 4: Simplify right side
    331,913.72x = 41,121,987,281.49
  5. Step 5: Solve for x
    x = 41,121,987,281.49/331,913.72
  6. Step 6: Final answer
    x = 123,893.60

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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.