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Finding the Fourth Proportional to 315,912.81, 473,952.33 and 113,529.36

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Solution

The fourth proportional to 315,912.81, 473,952.33 and 113,529.36 is: 170,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,912.81 : 473,952.33 = 113,529.36 : x
  2. Step 2: Convert to fraction form
    315,912.81/473,952.33 = 113,529.36/x
  3. Step 3: Cross multiply
    315,912.81x = 473,952.33 × 113,529.36
  4. Step 4: Simplify right side
    315,912.81x = 53,807,504,695.41
  5. Step 5: Solve for x
    x = 53,807,504,695.41/315,912.81
  6. Step 6: Final answer
    x = 170,323.91

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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.