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Finding the Fourth Proportional to 298,036.14, 411,273.50 and 162,069.95

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Solution

The fourth proportional to 298,036.14, 411,273.50 and 162,069.95 is: 223,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,036.14 : 411,273.50 = 162,069.95 : x
  2. Step 2: Convert to fraction form
    298,036.14/411,273.50 = 162,069.95/x
  3. Step 3: Cross multiply
    298,036.14x = 411,273.50 × 162,069.95
  4. Step 4: Simplify right side
    298,036.14x = 66,655,072,714.61
  5. Step 5: Solve for x
    x = 66,655,072,714.61/298,036.14
  6. Step 6: Final answer
    x = 223,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.