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Finding the Fourth Proportional to 271,946.80, 407,920.20 and 266,114.80

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Solution

The fourth proportional to 271,946.80, 407,920.20 and 266,114.80 is: 399,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,946.80 : 407,920.20 = 266,114.80 : x
  2. Step 2: Convert to fraction form
    271,946.80/407,920.20 = 266,114.80/x
  3. Step 3: Cross multiply
    271,946.80x = 407,920.20 × 266,114.80
  4. Step 4: Simplify right side
    271,946.80x = 108,553,602,438.96
  5. Step 5: Solve for x
    x = 108,553,602,438.96/271,946.80
  6. Step 6: Final answer
    x = 399,172.20

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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.