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Finding the Fourth Proportional to 464,015.20, 695,461.20 and 197,215.60

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Solution

The fourth proportional to 464,015.20, 695,461.20 and 197,215.60 is: 295,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,015.20 : 695,461.20 = 197,215.60 : x
  2. Step 2: Convert to fraction form
    464,015.20/695,461.20 = 197,215.60/x
  3. Step 3: Cross multiply
    464,015.20x = 695,461.20 × 197,215.60
  4. Step 4: Simplify right side
    464,015.20x = 137,155,797,834.72
  5. Step 5: Solve for x
    x = 137,155,797,834.72/464,015.20
  6. Step 6: Final answer
    x = 295,584.71

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1.5x scale

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.