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Finding the Fourth Proportional to 402,203.30, 603,295.72 and 202,470.06

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Solution

The fourth proportional to 402,203.30, 603,295.72 and 202,470.06 is: 303,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,203.30 : 603,295.72 = 202,470.06 : x
  2. Step 2: Convert to fraction form
    402,203.30/603,295.72 = 202,470.06/x
  3. Step 3: Cross multiply
    402,203.30x = 603,295.72 × 202,470.06
  4. Step 4: Simplify right side
    402,203.30x = 122,149,320,626.14
  5. Step 5: Solve for x
    x = 122,149,320,626.14/402,203.30
  6. Step 6: Final answer
    x = 303,700.44

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