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Finding the Fourth Proportional to 523,174.50, 784,769.13 and 149,197.50

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Solution

The fourth proportional to 523,174.50, 784,769.13 and 149,197.50 is: 223,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,174.50 : 784,769.13 = 149,197.50 : x
  2. Step 2: Convert to fraction form
    523,174.50/784,769.13 = 149,197.50/x
  3. Step 3: Cross multiply
    523,174.50x = 784,769.13 × 149,197.50
  4. Step 4: Simplify right side
    523,174.50x = 117,085,592,273.18
  5. Step 5: Solve for x
    x = 117,085,592,273.18/523,174.50
  6. Step 6: Final answer
    x = 223,798.35

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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.