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Finding the Fourth Proportional to 340,493.69, 510,744.62 and 115,858.76

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Solution

The fourth proportional to 340,493.69, 510,744.62 and 115,858.76 is: 173,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,493.69 : 510,744.62 = 115,858.76 : x
  2. Step 2: Convert to fraction form
    340,493.69/510,744.62 = 115,858.76/x
  3. Step 3: Cross multiply
    340,493.69x = 510,744.62 × 115,858.76
  4. Step 4: Simplify right side
    340,493.69x = 59,174,236,085.80
  5. Step 5: Solve for x
    x = 59,174,236,085.80/340,493.69
  6. Step 6: Final answer
    x = 173,789.52

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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.