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Finding the Fourth Proportional to 531,197.14, 733,025.94 and 289,478.98

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Solution

The fourth proportional to 531,197.14, 733,025.94 and 289,478.98 is: 399,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,197.14 : 733,025.94 = 289,478.98 : x
  2. Step 2: Convert to fraction form
    531,197.14/733,025.94 = 289,478.98/x
  3. Step 3: Cross multiply
    531,197.14x = 733,025.94 × 289,478.98
  4. Step 4: Simplify right side
    531,197.14x = 212,195,601,424.74
  5. Step 5: Solve for x
    x = 212,195,601,424.74/531,197.14
  6. Step 6: Final answer
    x = 399,466.76

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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.