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Finding the Fourth Proportional to 412,394.39, 618,405.69 and 146,094.33

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Solution

The fourth proportional to 412,394.39, 618,405.69 and 146,094.33 is: 219,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,394.39 : 618,405.69 = 146,094.33 : x
  2. Step 2: Convert to fraction form
    412,394.39/618,405.69 = 146,094.33/x
  3. Step 3: Cross multiply
    412,394.39x = 618,405.69 × 146,094.33
  4. Step 4: Simplify right side
    412,394.39x = 90,345,566,993.83
  5. Step 5: Solve for x
    x = 90,345,566,993.83/412,394.39
  6. Step 6: Final answer
    x = 219,075.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.