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Finding the Fourth Proportional to 414,817.76, 622,088.28 and 162,032.72

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Solution

The fourth proportional to 414,817.76, 622,088.28 and 162,032.72 is: 242,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,817.76 : 622,088.28 = 162,032.72 : x
  2. Step 2: Convert to fraction form
    414,817.76/622,088.28 = 162,032.72/x
  3. Step 3: Cross multiply
    414,817.76x = 622,088.28 × 162,032.72
  4. Step 4: Simplify right side
    414,817.76x = 100,798,656,088.52
  5. Step 5: Solve for x
    x = 100,798,656,088.52/414,817.76
  6. Step 6: Final answer
    x = 242,995.03

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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.