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Finding the Fourth Proportional to 456,696.83, 684,829.28 and 136,725.17

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Solution

The fourth proportional to 456,696.83, 684,829.28 and 136,725.17 is: 205,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,696.83 : 684,829.28 = 136,725.17 : x
  2. Step 2: Convert to fraction form
    456,696.83/684,829.28 = 136,725.17/x
  3. Step 3: Cross multiply
    456,696.83x = 684,829.28 × 136,725.17
  4. Step 4: Simplify right side
    456,696.83x = 93,633,396,646.64
  5. Step 5: Solve for x
    x = 93,633,396,646.64/456,696.83
  6. Step 6: Final answer
    x = 205,023.09

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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.