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Finding the Fourth Proportional to 650,177.40, 975,266.10 and 414,564.60

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Solution

The fourth proportional to 650,177.40, 975,266.10 and 414,564.60 is: 621,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,177.40 : 975,266.10 = 414,564.60 : x
  2. Step 2: Convert to fraction form
    650,177.40/975,266.10 = 414,564.60/x
  3. Step 3: Cross multiply
    650,177.40x = 975,266.10 × 414,564.60
  4. Step 4: Simplify right side
    650,177.40x = 404,310,800,640.06
  5. Step 5: Solve for x
    x = 404,310,800,640.06/650,177.40
  6. Step 6: Final answer
    x = 621,846.90

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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.