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Finding the Fourth Proportional to 524,363.80, 723,532.62 and 294,861.64

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Solution

The fourth proportional to 524,363.80, 723,532.62 and 294,861.64 is: 406,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,363.80 : 723,532.62 = 294,861.64 : x
  2. Step 2: Convert to fraction form
    524,363.80/723,532.62 = 294,861.64/x
  3. Step 3: Cross multiply
    524,363.80x = 723,532.62 × 294,861.64
  4. Step 4: Simplify right side
    524,363.80x = 213,342,014,926.70
  5. Step 5: Solve for x
    x = 213,342,014,926.70/524,363.80
  6. Step 6: Final answer
    x = 406,858.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.