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Finding the Fourth Proportional to 468,420.40, 702,958.65 and 202,371.85

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Solution

The fourth proportional to 468,420.40, 702,958.65 and 202,371.85 is: 303,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,420.40 : 702,958.65 = 202,371.85 : x
  2. Step 2: Convert to fraction form
    468,420.40/702,958.65 = 202,371.85/x
  3. Step 3: Cross multiply
    468,420.40x = 702,958.65 × 202,371.85
  4. Step 4: Simplify right side
    468,420.40x = 142,259,042,474.00
  5. Step 5: Solve for x
    x = 142,259,042,474.00/468,420.40
  6. Step 6: Final answer
    x = 303,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.