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Finding the Fourth Proportional to 304,402.44, 420,075.87 and 168,442.11

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Solution

The fourth proportional to 304,402.44, 420,075.87 and 168,442.11 is: 232,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,402.44 : 420,075.87 = 168,442.11 : x
  2. Step 2: Convert to fraction form
    304,402.44/420,075.87 = 168,442.11/x
  3. Step 3: Cross multiply
    304,402.44x = 420,075.87 × 168,442.11
  4. Step 4: Simplify right side
    304,402.44x = 70,758,465,902.89
  5. Step 5: Solve for x
    x = 70,758,465,902.89/304,402.44
  6. Step 6: Final answer
    x = 232,450.39

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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.