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Finding the Fourth Proportional to 583,206.26, 804,824.62 and 314,934.26

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Solution

The fourth proportional to 583,206.26, 804,824.62 and 314,934.26 is: 434,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,206.26 : 804,824.62 = 314,934.26 : x
  2. Step 2: Convert to fraction form
    583,206.26/804,824.62 = 314,934.26/x
  3. Step 3: Cross multiply
    583,206.26x = 804,824.62 × 314,934.26
  4. Step 4: Simplify right side
    583,206.26x = 253,466,846,129.48
  5. Step 5: Solve for x
    x = 253,466,846,129.48/583,206.26
  6. Step 6: Final answer
    x = 434,609.27

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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.