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Finding the Fourth Proportional to 462,334.36, 637,845.57 and 341,765.05

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Solution

The fourth proportional to 462,334.36, 637,845.57 and 341,765.05 is: 471,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,334.36 : 637,845.57 = 341,765.05 : x
  2. Step 2: Convert to fraction form
    462,334.36/637,845.57 = 341,765.05/x
  3. Step 3: Cross multiply
    462,334.36x = 637,845.57 × 341,765.05
  4. Step 4: Simplify right side
    462,334.36x = 217,993,323,123.33
  5. Step 5: Solve for x
    x = 217,993,323,123.33/462,334.36
  6. Step 6: Final answer
    x = 471,505.78

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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.