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Finding the Fourth Proportional to 441,336, 662,198.40 and 145,848

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Solution

The fourth proportional to 441,336, 662,198.40 and 145,848 is: 218,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,336 : 662,198.40 = 145,848 : x
  2. Step 2: Convert to fraction form
    441,336/662,198.40 = 145,848/x
  3. Step 3: Cross multiply
    441,336x = 662,198.40 × 145,848
  4. Step 4: Simplify right side
    441,336x = 96,580,312,243.20
  5. Step 5: Solve for x
    x = 96,580,312,243.20/441,336
  6. Step 6: Final answer
    x = 218,836.24

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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.