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Finding the Fourth Proportional to 475,569.36, 713,146.68 and 179,874

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Solution

The fourth proportional to 475,569.36, 713,146.68 and 179,874 is: 269,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,569.36 : 713,146.68 = 179,874 : x
  2. Step 2: Convert to fraction form
    475,569.36/713,146.68 = 179,874/x
  3. Step 3: Cross multiply
    475,569.36x = 713,146.68 × 179,874
  4. Step 4: Simplify right side
    475,569.36x = 128,276,545,918.32
  5. Step 5: Solve for x
    x = 128,276,545,918.32/475,569.36
  6. Step 6: Final answer
    x = 269,732.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.