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Finding the Fourth Proportional to 414,830.40, 621,808.20 and 162,013.20

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Solution

The fourth proportional to 414,830.40, 621,808.20 and 162,013.20 is: 242,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,830.40 : 621,808.20 = 162,013.20 : x
  2. Step 2: Convert to fraction form
    414,830.40/621,808.20 = 162,013.20/x
  3. Step 3: Cross multiply
    414,830.40x = 621,808.20 × 162,013.20
  4. Step 4: Simplify right side
    414,830.40x = 100,741,136,268.24
  5. Step 5: Solve for x
    x = 100,741,136,268.24/414,830.40
  6. Step 6: Final answer
    x = 242,848.97

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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.