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Finding the Fourth Proportional to 312,474.16, 468,711.84 and 112,935.43

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Solution

The fourth proportional to 312,474.16, 468,711.84 and 112,935.43 is: 169,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.16 : 468,711.84 = 112,935.43 : x
  2. Step 2: Convert to fraction form
    312,474.16/468,711.84 = 112,935.43/x
  3. Step 3: Cross multiply
    312,474.16x = 468,711.84 × 112,935.43
  4. Step 4: Simplify right side
    312,474.16x = 52,934,170,852.93
  5. Step 5: Solve for x
    x = 52,934,170,852.93/312,474.16
  6. Step 6: Final answer
    x = 169,403.36

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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.