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Finding the Fourth Proportional to 271,925.31, 407,542.91 and 153,662.88

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Solution

The fourth proportional to 271,925.31, 407,542.91 and 153,662.88 is: 230,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,925.31 : 407,542.91 = 153,662.88 : x
  2. Step 2: Convert to fraction form
    271,925.31/407,542.91 = 153,662.88/x
  3. Step 3: Cross multiply
    271,925.31x = 407,542.91 × 153,662.88
  4. Step 4: Simplify right side
    271,925.31x = 62,624,216,505.87
  5. Step 5: Solve for x
    x = 62,624,216,505.87/271,925.31
  6. Step 6: Final answer
    x = 230,299.33

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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.