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Finding the Fourth Proportional to 457,945.60, 686,918.40 and 221,749.60

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Solution

The fourth proportional to 457,945.60, 686,918.40 and 221,749.60 is: 332,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,945.60 : 686,918.40 = 221,749.60 : x
  2. Step 2: Convert to fraction form
    457,945.60/686,918.40 = 221,749.60/x
  3. Step 3: Cross multiply
    457,945.60x = 686,918.40 × 221,749.60
  4. Step 4: Simplify right side
    457,945.60x = 152,323,880,432.64
  5. Step 5: Solve for x
    x = 152,323,880,432.64/457,945.60
  6. Step 6: Final answer
    x = 332,624.40

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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.