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Finding the Fourth Proportional to 270,771.84, 406,622.40 and 166,204.80

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Solution

The fourth proportional to 270,771.84, 406,622.40 and 166,204.80 is: 249,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,771.84 : 406,622.40 = 166,204.80 : x
  2. Step 2: Convert to fraction form
    270,771.84/406,622.40 = 166,204.80/x
  3. Step 3: Cross multiply
    270,771.84x = 406,622.40 × 166,204.80
  4. Step 4: Simplify right side
    270,771.84x = 67,582,594,667.52
  5. Step 5: Solve for x
    x = 67,582,594,667.52/270,771.84
  6. Step 6: Final answer
    x = 249,592.40

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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.