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Finding the Fourth Proportional to 315,374.80, 472,916.40 and 137,790.40

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Solution

The fourth proportional to 315,374.80, 472,916.40 and 137,790.40 is: 206,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,374.80 : 472,916.40 = 137,790.40 : x
  2. Step 2: Convert to fraction form
    315,374.80/472,916.40 = 137,790.40/x
  3. Step 3: Cross multiply
    315,374.80x = 472,916.40 × 137,790.40
  4. Step 4: Simplify right side
    315,374.80x = 65,163,339,922.56
  5. Step 5: Solve for x
    x = 65,163,339,922.56/315,374.80
  6. Step 6: Final answer
    x = 206,621.90

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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.