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Finding the Fourth Proportional to 463,870.40, 695,287.20 and 197,585.60

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Solution

The fourth proportional to 463,870.40, 695,287.20 and 197,585.60 is: 296,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,870.40 : 695,287.20 = 197,585.60 : x
  2. Step 2: Convert to fraction form
    463,870.40/695,287.20 = 197,585.60/x
  3. Step 3: Cross multiply
    463,870.40x = 695,287.20 × 197,585.60
  4. Step 4: Simplify right side
    463,870.40x = 137,378,738,584.32
  5. Step 5: Solve for x
    x = 137,378,738,584.32/463,870.40
  6. Step 6: Final answer
    x = 296,157.59

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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.