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Finding the Fourth Proportional to 375,081.32, 517,624.68 and 205,315.44

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Solution

The fourth proportional to 375,081.32, 517,624.68 and 205,315.44 is: 283,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,081.32 : 517,624.68 = 205,315.44 : x
  2. Step 2: Convert to fraction form
    375,081.32/517,624.68 = 205,315.44/x
  3. Step 3: Cross multiply
    375,081.32x = 517,624.68 × 205,315.44
  4. Step 4: Simplify right side
    375,081.32x = 106,276,338,929.06
  5. Step 5: Solve for x
    x = 106,276,338,929.06/375,081.32
  6. Step 6: Final answer
    x = 283,342.13

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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.