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Finding the Fourth Proportional to 403,323.12, 604,911.24 and 118,954.80

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Solution

The fourth proportional to 403,323.12, 604,911.24 and 118,954.80 is: 178,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,323.12 : 604,911.24 = 118,954.80 : x
  2. Step 2: Convert to fraction form
    403,323.12/604,911.24 = 118,954.80/x
  3. Step 3: Cross multiply
    403,323.12x = 604,911.24 × 118,954.80
  4. Step 4: Simplify right side
    403,323.12x = 71,957,095,571.95
  5. Step 5: Solve for x
    x = 71,957,095,571.95/403,323.12
  6. Step 6: Final answer
    x = 178,410.54

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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.