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Finding the Fourth Proportional to 474,969.60, 712,454.40 and 119,984.64

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Solution

The fourth proportional to 474,969.60, 712,454.40 and 119,984.64 is: 179,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,969.60 : 712,454.40 = 119,984.64 : x
  2. Step 2: Convert to fraction form
    474,969.60/712,454.40 = 119,984.64/x
  3. Step 3: Cross multiply
    474,969.60x = 712,454.40 × 119,984.64
  4. Step 4: Simplify right side
    474,969.60x = 85,483,584,700.42
  5. Step 5: Solve for x
    x = 85,483,584,700.42/474,969.60
  6. Step 6: Final answer
    x = 179,976.96

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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.