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Finding the Fourth Proportional to 576,382.56, 864,287.80 and 197,196

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Solution

The fourth proportional to 576,382.56, 864,287.80 and 197,196 is: 295,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,382.56 : 864,287.80 = 197,196 : x
  2. Step 2: Convert to fraction form
    576,382.56/864,287.80 = 197,196/x
  3. Step 3: Cross multiply
    576,382.56x = 864,287.80 × 197,196
  4. Step 4: Simplify right side
    576,382.56x = 170,434,097,008.80
  5. Step 5: Solve for x
    x = 170,434,097,008.80/576,382.56
  6. Step 6: Final answer
    x = 295,696.14

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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.