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Finding the Fourth Proportional to 656,309, 905,706.78 and 354,503

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Solution

The fourth proportional to 656,309, 905,706.78 and 354,503 is: 489,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,309 : 905,706.78 = 354,503 : x
  2. Step 2: Convert to fraction form
    656,309/905,706.78 = 354,503/x
  3. Step 3: Cross multiply
    656,309x = 905,706.78 × 354,503
  4. Step 4: Simplify right side
    656,309x = 321,075,770,630.34
  5. Step 5: Solve for x
    x = 321,075,770,630.34/656,309
  6. Step 6: Final answer
    x = 489,214.33

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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.