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Finding the Fourth Proportional to 523,245.25, 784,984.88 and 190,821.25

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Solution

The fourth proportional to 523,245.25, 784,984.88 and 190,821.25 is: 286,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,245.25 : 784,984.88 = 190,821.25 : x
  2. Step 2: Convert to fraction form
    523,245.25/784,984.88 = 190,821.25/x
  3. Step 3: Cross multiply
    523,245.25x = 784,984.88 × 190,821.25
  4. Step 4: Simplify right side
    523,245.25x = 149,791,795,078.59
  5. Step 5: Solve for x
    x = 149,791,795,078.59/523,245.25
  6. Step 6: Final answer
    x = 286,274.54

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Double scale
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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.