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Finding the Fourth Proportional to 298,605.08, 412,075 and 164,469.08

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Solution

The fourth proportional to 298,605.08, 412,075 and 164,469.08 is: 226,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,605.08 : 412,075 = 164,469.08 : x
  2. Step 2: Convert to fraction form
    298,605.08/412,075 = 164,469.08/x
  3. Step 3: Cross multiply
    298,605.08x = 412,075 × 164,469.08
  4. Step 4: Simplify right side
    298,605.08x = 67,773,596,141.00
  5. Step 5: Solve for x
    x = 67,773,596,141.00/298,605.08
  6. Step 6: Final answer
    x = 226,967.32

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1.5x scale

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.