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Finding the Fourth Proportional to 531,216.59, 733,057.50 and 289,493.97

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Solution

The fourth proportional to 531,216.59, 733,057.50 and 289,493.97 is: 399,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216.59 : 733,057.50 = 289,493.97 : x
  2. Step 2: Convert to fraction form
    531,216.59/733,057.50 = 289,493.97/x
  3. Step 3: Cross multiply
    531,216.59x = 733,057.50 × 289,493.97
  4. Step 4: Simplify right side
    531,216.59x = 212,215,725,913.28
  5. Step 5: Solve for x
    x = 212,215,725,913.28/531,216.59
  6. Step 6: Final answer
    x = 399,490.02

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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.