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Finding the Fourth Proportional to 271,472.24, 407,383.32 and 105,260.24

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Solution

The fourth proportional to 271,472.24, 407,383.32 and 105,260.24 is: 157,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,472.24 : 407,383.32 = 105,260.24 : x
  2. Step 2: Convert to fraction form
    271,472.24/407,383.32 = 105,260.24/x
  3. Step 3: Cross multiply
    271,472.24x = 407,383.32 × 105,260.24
  4. Step 4: Simplify right side
    271,472.24x = 42,881,266,035.20
  5. Step 5: Solve for x
    x = 42,881,266,035.20/271,472.24
  6. Step 6: Final answer
    x = 157,958.20

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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.