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Finding the Fourth Proportional to 402,643.50, 603,965.38 and 118,334.04

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Solution

The fourth proportional to 402,643.50, 603,965.38 and 118,334.04 is: 177,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,643.50 : 603,965.38 = 118,334.04 : x
  2. Step 2: Convert to fraction form
    402,643.50/603,965.38 = 118,334.04/x
  3. Step 3: Cross multiply
    402,643.50x = 603,965.38 × 118,334.04
  4. Step 4: Simplify right side
    402,643.50x = 71,469,663,435.54
  5. Step 5: Solve for x
    x = 71,469,663,435.54/402,643.50
  6. Step 6: Final answer
    x = 177,501.10

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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.