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Finding the Fourth Proportional to 583,212.25, 804,832.91 and 314,940.25

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Solution

The fourth proportional to 583,212.25, 804,832.91 and 314,940.25 is: 434,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,212.25 : 804,832.91 = 314,940.25 : x
  2. Step 2: Convert to fraction form
    583,212.25/804,832.91 = 314,940.25/x
  3. Step 3: Cross multiply
    583,212.25x = 804,832.91 × 314,940.25
  4. Step 4: Simplify right side
    583,212.25x = 253,474,277,883.63
  5. Step 5: Solve for x
    x = 253,474,277,883.63/583,212.25
  6. Step 6: Final answer
    x = 434,617.55

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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.