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Finding the Fourth Proportional to 315,269.60, 472,904.40 and 197,171.60

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Solution

The fourth proportional to 315,269.60, 472,904.40 and 197,171.60 is: 295,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,269.60 : 472,904.40 = 197,171.60 : x
  2. Step 2: Convert to fraction form
    315,269.60/472,904.40 = 197,171.60/x
  3. Step 3: Cross multiply
    315,269.60x = 472,904.40 × 197,171.60
  4. Step 4: Simplify right side
    315,269.60x = 93,243,317,195.04
  5. Step 5: Solve for x
    x = 93,243,317,195.04/315,269.60
  6. Step 6: Final answer
    x = 295,757.40

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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.