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Finding the Fourth Proportional to 523,244.75, 784,984.13 and 190,820.75

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Solution

The fourth proportional to 523,244.75, 784,984.13 and 190,820.75 is: 286,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,244.75 : 784,984.13 = 190,820.75 : x
  2. Step 2: Convert to fraction form
    523,244.75/784,984.13 = 190,820.75/x
  3. Step 3: Cross multiply
    523,244.75x = 784,984.13 × 190,820.75
  4. Step 4: Simplify right side
    523,244.75x = 149,791,259,470.59
  5. Step 5: Solve for x
    x = 149,791,259,470.59/523,244.75
  6. Step 6: Final answer
    x = 286,273.79

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1.5x scale

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.