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Finding the Fourth Proportional to 375,130.41, 517,679.95 and 205,364.54

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Solution

The fourth proportional to 375,130.41, 517,679.95 and 205,364.54 is: 283,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,130.41 : 517,679.95 = 205,364.54 : x
  2. Step 2: Convert to fraction form
    375,130.41/517,679.95 = 205,364.54/x
  3. Step 3: Cross multiply
    375,130.41x = 517,679.95 × 205,364.54
  4. Step 4: Simplify right side
    375,130.41x = 106,313,101,183.75
  5. Step 5: Solve for x
    x = 106,313,101,183.75/375,130.41
  6. Step 6: Final answer
    x = 283,403.05

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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.