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Finding the Fourth Proportional to 705,072.36, 973,153.26 and 433,282.80

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Solution

The fourth proportional to 705,072.36, 973,153.26 and 433,282.80 is: 598,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,072.36 : 973,153.26 = 433,282.80 : x
  2. Step 2: Convert to fraction form
    705,072.36/973,153.26 = 433,282.80/x
  3. Step 3: Cross multiply
    705,072.36x = 973,153.26 × 433,282.80
  4. Step 4: Simplify right side
    705,072.36x = 421,650,569,321.93
  5. Step 5: Solve for x
    x = 421,650,569,321.93/705,072.36
  6. Step 6: Final answer
    x = 598,024.53

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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.