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Finding the Fourth Proportional to 300,695.16, 414,959.34 and 164,733.96

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Solution

The fourth proportional to 300,695.16, 414,959.34 and 164,733.96 is: 227,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,695.16 : 414,959.34 = 164,733.96 : x
  2. Step 2: Convert to fraction form
    300,695.16/414,959.34 = 164,733.96/x
  3. Step 3: Cross multiply
    300,695.16x = 414,959.34 × 164,733.96
  4. Step 4: Simplify right side
    300,695.16x = 68,357,895,317.19
  5. Step 5: Solve for x
    x = 68,357,895,317.19/300,695.16
  6. Step 6: Final answer
    x = 227,332.88

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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.