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Finding the Fourth Proportional to 403,299.50, 556,553.32 and 224,493.74

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Solution

The fourth proportional to 403,299.50, 556,553.32 and 224,493.74 is: 309,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,299.50 : 556,553.32 = 224,493.74 : x
  2. Step 2: Convert to fraction form
    403,299.50/556,553.32 = 224,493.74/x
  3. Step 3: Cross multiply
    403,299.50x = 556,553.32 × 224,493.74
  4. Step 4: Simplify right side
    403,299.50x = 124,942,736,316.22
  5. Step 5: Solve for x
    x = 124,942,736,316.22/403,299.50
  6. Step 6: Final answer
    x = 309,801.37

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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.