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Finding the Fourth Proportional to 433,523.10, 649,363.05 and 284,223.90

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Solution

The fourth proportional to 433,523.10, 649,363.05 and 284,223.90 is: 425,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,523.10 : 649,363.05 = 284,223.90 : x
  2. Step 2: Convert to fraction form
    433,523.10/649,363.05 = 284,223.90/x
  3. Step 3: Cross multiply
    433,523.10x = 649,363.05 × 284,223.90
  4. Step 4: Simplify right side
    433,523.10x = 184,564,498,586.90
  5. Step 5: Solve for x
    x = 184,564,498,586.90/433,523.10
  6. Step 6: Final answer
    x = 425,731.64

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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.