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Finding the Fourth Proportional to 298,075.34, 411,346.94 and 162,112.38

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Solution

The fourth proportional to 298,075.34, 411,346.94 and 162,112.38 is: 223,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,075.34 : 411,346.94 = 162,112.38 : x
  2. Step 2: Convert to fraction form
    298,075.34/411,346.94 = 162,112.38/x
  3. Step 3: Cross multiply
    298,075.34x = 411,346.94 × 162,112.38
  4. Step 4: Simplify right side
    298,075.34x = 66,684,430,638.56
  5. Step 5: Solve for x
    x = 66,684,430,638.56/298,075.34
  6. Step 6: Final answer
    x = 223,716.70

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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.