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Finding the Fourth Proportional to 508,103.09, 701,082.86 and 301,333.17

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Solution

The fourth proportional to 508,103.09, 701,082.86 and 301,333.17 is: 415,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,103.09 : 701,082.86 = 301,333.17 : x
  2. Step 2: Convert to fraction form
    508,103.09/701,082.86 = 301,333.17/x
  3. Step 3: Cross multiply
    508,103.09x = 701,082.86 × 301,333.17
  4. Step 4: Simplify right side
    508,103.09x = 211,259,520,636.47
  5. Step 5: Solve for x
    x = 211,259,520,636.47/508,103.09
  6. Step 6: Final answer
    x = 415,780.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.