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Finding the Fourth Proportional to 375,205.02, 517,788.63 and 205,454.94

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Solution

The fourth proportional to 375,205.02, 517,788.63 and 205,454.94 is: 283,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,205.02 : 517,788.63 = 205,454.94 : x
  2. Step 2: Convert to fraction form
    375,205.02/517,788.63 = 205,454.94/x
  3. Step 3: Cross multiply
    375,205.02x = 517,788.63 × 205,454.94
  4. Step 4: Simplify right side
    375,205.02x = 106,382,231,909.33
  5. Step 5: Solve for x
    x = 106,382,231,909.33/375,205.02
  6. Step 6: Final answer
    x = 283,530.94

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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.