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Finding the Fourth Proportional to 458,338.40, 632,623.26 and 313,202.94

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Solution

The fourth proportional to 458,338.40, 632,623.26 and 313,202.94 is: 432,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,338.40 : 632,623.26 = 313,202.94 : x
  2. Step 2: Convert to fraction form
    458,338.40/632,623.26 = 313,202.94/x
  3. Step 3: Cross multiply
    458,338.40x = 632,623.26 × 313,202.94
  4. Step 4: Simplify right side
    458,338.40x = 198,139,464,944.38
  5. Step 5: Solve for x
    x = 198,139,464,944.38/458,338.40
  6. Step 6: Final answer
    x = 432,299.51

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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.