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Finding the Fourth Proportional to 300,433, 414,594.12 and 164,465.32

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Solution

The fourth proportional to 300,433, 414,594.12 and 164,465.32 is: 226,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,433 : 414,594.12 = 164,465.32 : x
  2. Step 2: Convert to fraction form
    300,433/414,594.12 = 164,465.32/x
  3. Step 3: Cross multiply
    300,433x = 414,594.12 × 164,465.32
  4. Step 4: Simplify right side
    300,433x = 68,186,354,615.92
  5. Step 5: Solve for x
    x = 68,186,354,615.92/300,433
  6. Step 6: Final answer
    x = 226,960.27

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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.