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Finding the Fourth Proportional to 598,621.56, 826,402.50 and 462,349.59

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Solution

The fourth proportional to 598,621.56, 826,402.50 and 462,349.59 is: 638,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,621.56 : 826,402.50 = 462,349.59 : x
  2. Step 2: Convert to fraction form
    598,621.56/826,402.50 = 462,349.59/x
  3. Step 3: Cross multiply
    598,621.56x = 826,402.50 × 462,349.59
  4. Step 4: Simplify right side
    598,621.56x = 382,086,857,049.98
  5. Step 5: Solve for x
    x = 382,086,857,049.98/598,621.56
  6. Step 6: Final answer
    x = 638,277.81

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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.