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Finding the Fourth Proportional to 523,148.29, 784,523.24 and 309,976.35

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Solution

The fourth proportional to 523,148.29, 784,523.24 and 309,976.35 is: 464,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,148.29 : 784,523.24 = 309,976.35 : x
  2. Step 2: Convert to fraction form
    523,148.29/784,523.24 = 309,976.35/x
  3. Step 3: Cross multiply
    523,148.29x = 784,523.24 × 309,976.35
  4. Step 4: Simplify right side
    523,148.29x = 243,183,651,508.89
  5. Step 5: Solve for x
    x = 243,183,651,508.89/523,148.29
  6. Step 6: Final answer
    x = 464,846.50

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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.