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Finding the Fourth Proportional to 567,223, 782,764.38 and 309,099.40

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Solution

The fourth proportional to 567,223, 782,764.38 and 309,099.40 is: 426,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,223 : 782,764.38 = 309,099.40 : x
  2. Step 2: Convert to fraction form
    567,223/782,764.38 = 309,099.40/x
  3. Step 3: Cross multiply
    567,223x = 782,764.38 × 309,099.40
  4. Step 4: Simplify right side
    567,223x = 241,952,000,199.37
  5. Step 5: Solve for x
    x = 241,952,000,199.37/567,223
  6. Step 6: Final answer
    x = 426,555.34

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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.