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Finding the Fourth Proportional to 270,963.68, 404,797.45 and 175,415.47

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Solution

The fourth proportional to 270,963.68, 404,797.45 and 175,415.47 is: 262,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,963.68 : 404,797.45 = 175,415.47 : x
  2. Step 2: Convert to fraction form
    270,963.68/404,797.45 = 175,415.47/x
  3. Step 3: Cross multiply
    270,963.68x = 404,797.45 × 175,415.47
  4. Step 4: Simplify right side
    270,963.68x = 71,007,736,101.91
  5. Step 5: Solve for x
    x = 71,007,736,101.91/270,963.68
  6. Step 6: Final answer
    x = 262,056.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.