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Finding the Fourth Proportional to 398,661.51, 597,992.28 and 162,022.66

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Solution

The fourth proportional to 398,661.51, 597,992.28 and 162,022.66 is: 243,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,661.51 : 597,992.28 = 162,022.66 : x
  2. Step 2: Convert to fraction form
    398,661.51/597,992.28 = 162,022.66/x
  3. Step 3: Cross multiply
    398,661.51x = 597,992.28 × 162,022.66
  4. Step 4: Simplify right side
    398,661.51x = 96,888,299,865.06
  5. Step 5: Solve for x
    x = 96,888,299,865.06/398,661.51
  6. Step 6: Final answer
    x = 243,034.00

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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.