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Finding the Fourth Proportional to 504,583.34, 695,759.34 and 412,416.66

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Solution

The fourth proportional to 504,583.34, 695,759.34 and 412,416.66 is: 568,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,583.34 : 695,759.34 = 412,416.66 : x
  2. Step 2: Convert to fraction form
    504,583.34/695,759.34 = 412,416.66/x
  3. Step 3: Cross multiply
    504,583.34x = 695,759.34 × 412,416.66
  4. Step 4: Simplify right side
    504,583.34x = 286,942,743,166.60
  5. Step 5: Solve for x
    x = 286,942,743,166.60/504,583.34
  6. Step 6: Final answer
    x = 568,672.65

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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.