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Finding the Fourth Proportional to 541,072.36, 811,725.18 and 162,023.14

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Solution

The fourth proportional to 541,072.36, 811,725.18 and 162,023.14 is: 243,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,072.36 : 811,725.18 = 162,023.14 : x
  2. Step 2: Convert to fraction form
    541,072.36/811,725.18 = 162,023.14/x
  3. Step 3: Cross multiply
    541,072.36x = 811,725.18 × 162,023.14
  4. Step 4: Simplify right side
    541,072.36x = 131,518,262,480.67
  5. Step 5: Solve for x
    x = 131,518,262,480.67/541,072.36
  6. Step 6: Final answer
    x = 243,069.64

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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.