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Finding the Fourth Proportional to 312,198.94, 468,011.35 and 112,470.47

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Solution

The fourth proportional to 312,198.94, 468,011.35 and 112,470.47 is: 168,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198.94 : 468,011.35 = 112,470.47 : x
  2. Step 2: Convert to fraction form
    312,198.94/468,011.35 = 112,470.47/x
  3. Step 3: Cross multiply
    312,198.94x = 468,011.35 × 112,470.47
  4. Step 4: Simplify right side
    312,198.94x = 52,637,458,687.97
  5. Step 5: Solve for x
    x = 52,637,458,687.97/312,198.94
  6. Step 6: Final answer
    x = 168,602.30

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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.