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Finding the Fourth Proportional to 315,366.80, 472,904.40 and 137,782.40

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Solution

The fourth proportional to 315,366.80, 472,904.40 and 137,782.40 is: 206,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,366.80 : 472,904.40 = 137,782.40 : x
  2. Step 2: Convert to fraction form
    315,366.80/472,904.40 = 137,782.40/x
  3. Step 3: Cross multiply
    315,366.80x = 472,904.40 × 137,782.40
  4. Step 4: Simplify right side
    315,366.80x = 65,157,903,202.56
  5. Step 5: Solve for x
    x = 65,157,903,202.56/315,366.80
  6. Step 6: Final answer
    x = 206,609.90

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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.