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Finding the Fourth Proportional to 307,196.54, 460,857.53 and 174,136.22

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Solution

The fourth proportional to 307,196.54, 460,857.53 and 174,136.22 is: 261,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,196.54 : 460,857.53 = 174,136.22 : x
  2. Step 2: Convert to fraction form
    307,196.54/460,857.53 = 174,136.22/x
  3. Step 3: Cross multiply
    307,196.54x = 460,857.53 × 174,136.22
  4. Step 4: Simplify right side
    307,196.54x = 80,251,988,232.74
  5. Step 5: Solve for x
    x = 80,251,988,232.74/307,196.54
  6. Step 6: Final answer
    x = 261,239.88

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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.