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Finding the Fourth Proportional to 271,683.63, 406,995.29 and 177,905.07

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Solution

The fourth proportional to 271,683.63, 406,995.29 and 177,905.07 is: 266,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,683.63 : 406,995.29 = 177,905.07 : x
  2. Step 2: Convert to fraction form
    271,683.63/406,995.29 = 177,905.07/x
  3. Step 3: Cross multiply
    271,683.63x = 406,995.29 × 177,905.07
  4. Step 4: Simplify right side
    271,683.63x = 72,406,524,667.60
  5. Step 5: Solve for x
    x = 72,406,524,667.60/271,683.63
  6. Step 6: Final answer
    x = 266,510.44

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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.