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Finding the Fourth Proportional to 354,739.76, 489,525.58 and 201,756.38

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Solution

The fourth proportional to 354,739.76, 489,525.58 and 201,756.38 is: 278,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,739.76 : 489,525.58 = 201,756.38 : x
  2. Step 2: Convert to fraction form
    354,739.76/489,525.58 = 201,756.38/x
  3. Step 3: Cross multiply
    354,739.76x = 489,525.58 × 201,756.38
  4. Step 4: Simplify right side
    354,739.76x = 98,764,906,984.68
  5. Step 5: Solve for x
    x = 98,764,906,984.68/354,739.76
  6. Step 6: Final answer
    x = 278,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.