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Finding the Fourth Proportional to 523,306, 784,978.08 and 186,371.44

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Solution

The fourth proportional to 523,306, 784,978.08 and 186,371.44 is: 279,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,306 : 784,978.08 = 186,371.44 : x
  2. Step 2: Convert to fraction form
    523,306/784,978.08 = 186,371.44/x
  3. Step 3: Cross multiply
    523,306x = 784,978.08 × 186,371.44
  4. Step 4: Simplify right side
    523,306x = 146,297,495,138.04
  5. Step 5: Solve for x
    x = 146,297,495,138.04/523,306
  6. Step 6: Final answer
    x = 279,563.96

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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.