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Finding the Fourth Proportional to 300,336.59, 414,464.69 and 164,370.50

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Solution

The fourth proportional to 300,336.59, 414,464.69 and 164,370.50 is: 226,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,336.59 : 414,464.69 = 164,370.50 : x
  2. Step 2: Convert to fraction form
    300,336.59/414,464.69 = 164,370.50/x
  3. Step 3: Cross multiply
    300,336.59x = 414,464.69 × 164,370.50
  4. Step 4: Simplify right side
    300,336.59x = 68,125,766,666.25
  5. Step 5: Solve for x
    x = 68,125,766,666.25/300,336.59
  6. Step 6: Final answer
    x = 226,831.39

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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.