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Finding the Fourth Proportional to 466,976.40, 700,464.60 and 278,019.60

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Solution

The fourth proportional to 466,976.40, 700,464.60 and 278,019.60 is: 417,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,976.40 : 700,464.60 = 278,019.60 : x
  2. Step 2: Convert to fraction form
    466,976.40/700,464.60 = 278,019.60/x
  3. Step 3: Cross multiply
    466,976.40x = 700,464.60 × 278,019.60
  4. Step 4: Simplify right side
    466,976.40x = 194,742,887,906.16
  5. Step 5: Solve for x
    x = 194,742,887,906.16/466,976.40
  6. Step 6: Final answer
    x = 417,029.40

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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.