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Finding the Fourth Proportional to 471,575.52, 705,190.42 and 350,225.20

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Solution

The fourth proportional to 471,575.52, 705,190.42 and 350,225.20 is: 523,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,575.52 : 705,190.42 = 350,225.20 : x
  2. Step 2: Convert to fraction form
    471,575.52/705,190.42 = 350,225.20/x
  3. Step 3: Cross multiply
    471,575.52x = 705,190.42 × 350,225.20
  4. Step 4: Simplify right side
    471,575.52x = 246,975,457,201.85
  5. Step 5: Solve for x
    x = 246,975,457,201.85/471,575.52
  6. Step 6: Final answer
    x = 523,724.08

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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.