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Finding the Fourth Proportional to 650,110.40, 975,165.60 and 414,497.60

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Solution

The fourth proportional to 650,110.40, 975,165.60 and 414,497.60 is: 621,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,110.40 : 975,165.60 = 414,497.60 : x
  2. Step 2: Convert to fraction form
    650,110.40/975,165.60 = 414,497.60/x
  3. Step 3: Cross multiply
    650,110.40x = 975,165.60 × 414,497.60
  4. Step 4: Simplify right side
    650,110.40x = 404,203,800,802.56
  5. Step 5: Solve for x
    x = 404,203,800,802.56/650,110.40
  6. Step 6: Final answer
    x = 621,746.40

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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.