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Finding the Fourth Proportional to 340,046.57, 469,256.69 and 196,803.74

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Solution

The fourth proportional to 340,046.57, 469,256.69 and 196,803.74 is: 271,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,046.57 : 469,256.69 = 196,803.74 : x
  2. Step 2: Convert to fraction form
    340,046.57/469,256.69 = 196,803.74/x
  3. Step 3: Cross multiply
    340,046.57x = 469,256.69 × 196,803.74
  4. Step 4: Simplify right side
    340,046.57x = 92,351,470,628.00
  5. Step 5: Solve for x
    x = 92,351,470,628.00/340,046.57
  6. Step 6: Final answer
    x = 271,584.77

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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.