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Finding the Fourth Proportional to 531,020.49, 732,806.10 and 289,302.33

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Solution

The fourth proportional to 531,020.49, 732,806.10 and 289,302.33 is: 399,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,020.49 : 732,806.10 = 289,302.33 : x
  2. Step 2: Convert to fraction form
    531,020.49/732,806.10 = 289,302.33/x
  3. Step 3: Cross multiply
    531,020.49x = 732,806.10 × 289,302.33
  4. Step 4: Simplify right side
    531,020.49x = 212,002,512,168.21
  5. Step 5: Solve for x
    x = 212,002,512,168.21/531,020.49
  6. Step 6: Final answer
    x = 399,236.03

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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.