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Finding the Fourth Proportional to 340,279.72, 510,493.38 and 103,616.20

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Solution

The fourth proportional to 340,279.72, 510,493.38 and 103,616.20 is: 155,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,279.72 : 510,493.38 = 103,616.20 : x
  2. Step 2: Convert to fraction form
    340,279.72/510,493.38 = 103,616.20/x
  3. Step 3: Cross multiply
    340,279.72x = 510,493.38 × 103,616.20
  4. Step 4: Simplify right side
    340,279.72x = 52,895,384,160.76
  5. Step 5: Solve for x
    x = 52,895,384,160.76/340,279.72
  6. Step 6: Final answer
    x = 155,446.77

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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.