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Finding the Fourth Proportional to 300,303.50, 414,418.84 and 164,337.45

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Solution

The fourth proportional to 300,303.50, 414,418.84 and 164,337.45 is: 226,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,303.50 : 414,418.84 = 164,337.45 : x
  2. Step 2: Convert to fraction form
    300,303.50/414,418.84 = 164,337.45/x
  3. Step 3: Cross multiply
    300,303.50x = 414,418.84 × 164,337.45
  4. Step 4: Simplify right side
    300,303.50x = 68,104,534,575.87
  5. Step 5: Solve for x
    x = 68,104,534,575.87/300,303.50
  6. Step 6: Final answer
    x = 226,785.69

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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.