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Finding the Fourth Proportional to 397,771.20, 596,000.70 and 338,722.20

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Solution

The fourth proportional to 397,771.20, 596,000.70 and 338,722.20 is: 507,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,771.20 : 596,000.70 = 338,722.20 : x
  2. Step 2: Convert to fraction form
    397,771.20/596,000.70 = 338,722.20/x
  3. Step 3: Cross multiply
    397,771.20x = 596,000.70 × 338,722.20
  4. Step 4: Simplify right side
    397,771.20x = 201,878,668,305.54
  5. Step 5: Solve for x
    x = 201,878,668,305.54/397,771.20
  6. Step 6: Final answer
    x = 507,524.60

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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.