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Finding the Fourth Proportional to 650,176.40, 975,264.60 and 414,563.60

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Solution

The fourth proportional to 650,176.40, 975,264.60 and 414,563.60 is: 621,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,176.40 : 975,264.60 = 414,563.60 : x
  2. Step 2: Convert to fraction form
    650,176.40/975,264.60 = 414,563.60/x
  3. Step 3: Cross multiply
    650,176.40x = 975,264.60 × 414,563.60
  4. Step 4: Simplify right side
    650,176.40x = 404,309,203,528.56
  5. Step 5: Solve for x
    x = 404,309,203,528.56/650,176.40
  6. Step 6: Final answer
    x = 621,845.40

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Why These Related Problems?

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