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Finding the Fourth Proportional to 650,130.40, 975,195.60 and 414,517.60

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Solution

The fourth proportional to 650,130.40, 975,195.60 and 414,517.60 is: 621,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,130.40 : 975,195.60 = 414,517.60 : x
  2. Step 2: Convert to fraction form
    650,130.40/975,195.60 = 414,517.60/x
  3. Step 3: Cross multiply
    650,130.40x = 975,195.60 × 414,517.60
  4. Step 4: Simplify right side
    650,130.40x = 404,235,739,642.56
  5. Step 5: Solve for x
    x = 404,235,739,642.56/650,130.40
  6. Step 6: Final answer
    x = 621,776.40

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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.