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Finding the Fourth Proportional to 300,458.76, 414,633.21 and 164,501.52

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Solution

The fourth proportional to 300,458.76, 414,633.21 and 164,501.52 is: 227,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,458.76 : 414,633.21 = 164,501.52 : x
  2. Step 2: Convert to fraction form
    300,458.76/414,633.21 = 164,501.52/x
  3. Step 3: Cross multiply
    300,458.76x = 414,633.21 × 164,501.52
  4. Step 4: Simplify right side
    300,458.76x = 68,207,793,287.48
  5. Step 5: Solve for x
    x = 68,207,793,287.48/300,458.76
  6. Step 6: Final answer
    x = 227,012.16

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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.