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Finding the Fourth Proportional to 264,005.71, 364,628.56 and 178,975.15

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Solution

The fourth proportional to 264,005.71, 364,628.56 and 178,975.15 is: 247,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,005.71 : 364,628.56 = 178,975.15 : x
  2. Step 2: Convert to fraction form
    264,005.71/364,628.56 = 178,975.15/x
  3. Step 3: Cross multiply
    264,005.71x = 364,628.56 × 178,975.15
  4. Step 4: Simplify right side
    264,005.71x = 65,259,451,220.28
  5. Step 5: Solve for x
    x = 65,259,451,220.28/264,005.71
  6. Step 6: Final answer
    x = 247,189.54

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1.5x scale

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.