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Finding the Fourth Proportional to 713,206.77, 1,069,872.42 and 180,727.82

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Solution

The fourth proportional to 713,206.77, 1,069,872.42 and 180,727.82 is: 271,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,206.77 : 1,069,872.42 = 180,727.82 : x
  2. Step 2: Convert to fraction form
    713,206.77/1,069,872.42 = 180,727.82/x
  3. Step 3: Cross multiply
    713,206.77x = 1,069,872.42 × 180,727.82
  4. Step 4: Simplify right side
    713,206.77x = 193,355,703,891.72
  5. Step 5: Solve for x
    x = 193,355,703,891.72/713,206.77
  6. Step 6: Final answer
    x = 271,107.50

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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.