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Finding the Fourth Proportional to 355,139.34, 490,106.70 and 204,236.34

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Solution

The fourth proportional to 355,139.34, 490,106.70 and 204,236.34 is: 281,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,139.34 : 490,106.70 = 204,236.34 : x
  2. Step 2: Convert to fraction form
    355,139.34/490,106.70 = 204,236.34/x
  3. Step 3: Cross multiply
    355,139.34x = 490,106.70 × 204,236.34
  4. Step 4: Simplify right side
    355,139.34x = 100,097,598,617.48
  5. Step 5: Solve for x
    x = 100,097,598,617.48/355,139.34
  6. Step 6: Final answer
    x = 281,854.44

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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.