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Finding the Fourth Proportional to 384,114.40, 576,152.40 and 197,144.80

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Solution

The fourth proportional to 384,114.40, 576,152.40 and 197,144.80 is: 295,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.40 : 576,152.40 = 197,144.80 : x
  2. Step 2: Convert to fraction form
    384,114.40/576,152.40 = 197,144.80/x
  3. Step 3: Cross multiply
    384,114.40x = 576,152.40 × 197,144.80
  4. Step 4: Simplify right side
    384,114.40x = 113,585,449,667.52
  5. Step 5: Solve for x
    x = 113,585,449,667.52/384,114.40
  6. Step 6: Final answer
    x = 295,707.35

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1.5x scale

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.