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Finding the Fourth Proportional to 493,571.16, 740,356.84 and 178,028.03

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Solution

The fourth proportional to 493,571.16, 740,356.84 and 178,028.03 is: 267,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,571.16 : 740,356.84 = 178,028.03 : x
  2. Step 2: Convert to fraction form
    493,571.16/740,356.84 = 178,028.03/x
  3. Step 3: Cross multiply
    493,571.16x = 740,356.84 × 178,028.03
  4. Step 4: Simplify right side
    493,571.16x = 131,804,271,128.05
  5. Step 5: Solve for x
    x = 131,804,271,128.05/493,571.16
  6. Step 6: Final answer
    x = 267,042.08

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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.