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Finding the Fourth Proportional to 531,192.34, 733,026.81 and 289,469.98

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Solution

The fourth proportional to 531,192.34, 733,026.81 and 289,469.98 is: 399,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,192.34 : 733,026.81 = 289,469.98 : x
  2. Step 2: Convert to fraction form
    531,192.34/733,026.81 = 289,469.98/x
  3. Step 3: Cross multiply
    531,192.34x = 733,026.81 × 289,469.98
  4. Step 4: Simplify right side
    531,192.34x = 212,189,256,030.16
  5. Step 5: Solve for x
    x = 212,189,256,030.16/531,192.34
  6. Step 6: Final answer
    x = 399,458.43

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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.