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Finding the Fourth Proportional to 342,563.58, 472,705.72 and 204,715.16

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Solution

The fourth proportional to 342,563.58, 472,705.72 and 204,715.16 is: 282,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,563.58 : 472,705.72 = 204,715.16 : x
  2. Step 2: Convert to fraction form
    342,563.58/472,705.72 = 204,715.16/x
  3. Step 3: Cross multiply
    342,563.58x = 472,705.72 × 204,715.16
  4. Step 4: Simplify right side
    342,563.58x = 96,770,027,102.72
  5. Step 5: Solve for x
    x = 96,770,027,102.72/342,563.58
  6. Step 6: Final answer
    x = 282,487.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.