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Finding the Fourth Proportional to 277,439.40, 382,865.40 and 150,114.42

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Solution

The fourth proportional to 277,439.40, 382,865.40 and 150,114.42 is: 207,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,439.40 : 382,865.40 = 150,114.42 : x
  2. Step 2: Convert to fraction form
    277,439.40/382,865.40 = 150,114.42/x
  3. Step 3: Cross multiply
    277,439.40x = 382,865.40 × 150,114.42
  4. Step 4: Simplify right side
    277,439.40x = 57,473,617,459.07
  5. Step 5: Solve for x
    x = 57,473,617,459.07/277,439.40
  6. Step 6: Final answer
    x = 207,157.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.