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Finding the Fourth Proportional to 342,193.36, 472,256.04 and 198,944.32

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Solution

The fourth proportional to 342,193.36, 472,256.04 and 198,944.32 is: 274,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,193.36 : 472,256.04 = 198,944.32 : x
  2. Step 2: Convert to fraction form
    342,193.36/472,256.04 = 198,944.32/x
  3. Step 3: Cross multiply
    342,193.36x = 472,256.04 × 198,944.32
  4. Step 4: Simplify right side
    342,193.36x = 93,952,656,743.69
  5. Step 5: Solve for x
    x = 93,952,656,743.69/342,193.36
  6. Step 6: Final answer
    x = 274,560.14

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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.