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Finding the Fourth Proportional to 583,204.26, 804,821.86 and 314,932.26

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Solution

The fourth proportional to 583,204.26, 804,821.86 and 314,932.26 is: 434,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,204.26 : 804,821.86 = 314,932.26 : x
  2. Step 2: Convert to fraction form
    583,204.26/804,821.86 = 314,932.26/x
  3. Step 3: Cross multiply
    583,204.26x = 804,821.86 × 314,932.26
  4. Step 4: Simplify right side
    583,204.26x = 253,464,367,267.20
  5. Step 5: Solve for x
    x = 253,464,367,267.20/583,204.26
  6. Step 6: Final answer
    x = 434,606.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.