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Finding the Fourth Proportional to 407,135.43, 561,850.01 and 223,372.77

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Solution

The fourth proportional to 407,135.43, 561,850.01 and 223,372.77 is: 308,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,135.43 : 561,850.01 = 223,372.77 : x
  2. Step 2: Convert to fraction form
    407,135.43/561,850.01 = 223,372.77/x
  3. Step 3: Cross multiply
    407,135.43x = 561,850.01 × 223,372.77
  4. Step 4: Simplify right side
    407,135.43x = 125,501,991,941.36
  5. Step 5: Solve for x
    x = 125,501,991,941.36/407,135.43
  6. Step 6: Final answer
    x = 308,256.13

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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.