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Finding the Fourth Proportional to 298,075.69, 411,348.03 and 162,113.05

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Solution

The fourth proportional to 298,075.69, 411,348.03 and 162,113.05 is: 223,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,075.69 : 411,348.03 = 162,113.05 : x
  2. Step 2: Convert to fraction form
    298,075.69/411,348.03 = 162,113.05/x
  3. Step 3: Cross multiply
    298,075.69x = 411,348.03 × 162,113.05
  4. Step 4: Simplify right side
    298,075.69x = 66,684,883,754.79
  5. Step 5: Solve for x
    x = 66,684,883,754.79/298,075.69
  6. Step 6: Final answer
    x = 223,717.95

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