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Finding the Fourth Proportional to 598,622.56, 826,403.88 and 462,350.59

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Solution

The fourth proportional to 598,622.56, 826,403.88 and 462,350.59 is: 638,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,622.56 : 826,403.88 = 462,350.59 : x
  2. Step 2: Convert to fraction form
    598,622.56/826,403.88 = 462,350.59/x
  3. Step 3: Cross multiply
    598,622.56x = 826,403.88 × 462,350.59
  4. Step 4: Simplify right side
    598,622.56x = 382,088,321,496.29
  5. Step 5: Solve for x
    x = 382,088,321,496.29/598,622.56
  6. Step 6: Final answer
    x = 638,279.19

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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.