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Finding the Fourth Proportional to 484,214.40, 726,321.60 and 295,257.60

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Solution

The fourth proportional to 484,214.40, 726,321.60 and 295,257.60 is: 442,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,214.40 : 726,321.60 = 295,257.60 : x
  2. Step 2: Convert to fraction form
    484,214.40/726,321.60 = 295,257.60/x
  3. Step 3: Cross multiply
    484,214.40x = 726,321.60 × 295,257.60
  4. Step 4: Simplify right side
    484,214.40x = 214,451,972,444.16
  5. Step 5: Solve for x
    x = 214,451,972,444.16/484,214.40
  6. Step 6: Final answer
    x = 442,886.40

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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.