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Finding the Fourth Proportional to 298,075.99, 411,347.55 and 162,111.19

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Solution

The fourth proportional to 298,075.99, 411,347.55 and 162,111.19 is: 223,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,075.99 : 411,347.55 = 162,111.19 : x
  2. Step 2: Convert to fraction form
    298,075.99/411,347.55 = 162,111.19/x
  3. Step 3: Cross multiply
    298,075.99x = 411,347.55 × 162,111.19
  4. Step 4: Simplify right side
    298,075.99x = 66,684,040,834.08
  5. Step 5: Solve for x
    x = 66,684,040,834.08/298,075.99
  6. Step 6: Final answer
    x = 223,714.90

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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.