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Finding the Fourth Proportional to 523,231.80, 784,847.70 and 514,374.45

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Solution

The fourth proportional to 523,231.80, 784,847.70 and 514,374.45 is: 771,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,231.80 : 784,847.70 = 514,374.45 : x
  2. Step 2: Convert to fraction form
    523,231.80/784,847.70 = 514,374.45/x
  3. Step 3: Cross multiply
    523,231.80x = 784,847.70 × 514,374.45
  4. Step 4: Simplify right side
    523,231.80x = 403,705,604,021.27
  5. Step 5: Solve for x
    x = 403,705,604,021.27/523,231.80
  6. Step 6: Final answer
    x = 771,561.68

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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.