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Finding the Fourth Proportional to 375,302.14, 517,917.16 and 205,536.26

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Solution

The fourth proportional to 375,302.14, 517,917.16 and 205,536.26 is: 283,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,302.14 : 517,917.16 = 205,536.26 : x
  2. Step 2: Convert to fraction form
    375,302.14/517,917.16 = 205,536.26/x
  3. Step 3: Cross multiply
    375,302.14x = 517,917.16 × 205,536.26
  4. Step 4: Simplify right side
    375,302.14x = 106,450,756,056.22
  5. Step 5: Solve for x
    x = 106,450,756,056.22/375,302.14
  6. Step 6: Final answer
    x = 283,640.15

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