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Finding the Fourth Proportional to 315,535.80, 473,022.36 and 115,809.85

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Solution

The fourth proportional to 315,535.80, 473,022.36 and 115,809.85 is: 173,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,535.80 : 473,022.36 = 115,809.85 : x
  2. Step 2: Convert to fraction form
    315,535.80/473,022.36 = 115,809.85/x
  3. Step 3: Cross multiply
    315,535.80x = 473,022.36 × 115,809.85
  4. Step 4: Simplify right side
    315,535.80x = 54,780,648,823.81
  5. Step 5: Solve for x
    x = 54,780,648,823.81/315,535.80
  6. Step 6: Final answer
    x = 173,611.51

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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.