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Finding the Fourth Proportional to 523,255.40, 784,940.70 and 190,903.40

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Solution

The fourth proportional to 523,255.40, 784,940.70 and 190,903.40 is: 286,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,255.40 : 784,940.70 = 190,903.40 : x
  2. Step 2: Convert to fraction form
    523,255.40/784,940.70 = 190,903.40/x
  3. Step 3: Cross multiply
    523,255.40x = 784,940.70 × 190,903.40
  4. Step 4: Simplify right side
    523,255.40x = 149,847,848,428.38
  5. Step 5: Solve for x
    x = 149,847,848,428.38/523,255.40
  6. Step 6: Final answer
    x = 286,376.11

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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.