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Finding the Fourth Proportional to 465,475.60, 698,213.40 and 433,982.80

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Solution

The fourth proportional to 465,475.60, 698,213.40 and 433,982.80 is: 650,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,475.60 : 698,213.40 = 433,982.80 : x
  2. Step 2: Convert to fraction form
    465,475.60/698,213.40 = 433,982.80/x
  3. Step 3: Cross multiply
    465,475.60x = 698,213.40 × 433,982.80
  4. Step 4: Simplify right side
    465,475.60x = 303,012,606,329.52
  5. Step 5: Solve for x
    x = 303,012,606,329.52/465,475.60
  6. Step 6: Final answer
    x = 650,974.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.