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Finding the Fourth Proportional to 569,031.40, 785,286.12 and 327,313.90

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Solution

The fourth proportional to 569,031.40, 785,286.12 and 327,313.90 is: 451,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,031.40 : 785,286.12 = 327,313.90 : x
  2. Step 2: Convert to fraction form
    569,031.40/785,286.12 = 327,313.90/x
  3. Step 3: Cross multiply
    569,031.40x = 785,286.12 × 327,313.90
  4. Step 4: Simplify right side
    569,031.40x = 257,035,062,553.07
  5. Step 5: Solve for x
    x = 257,035,062,553.07/569,031.40
  6. Step 6: Final answer
    x = 451,706.29

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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.