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Finding the Fourth Proportional to 300,585.47, 414,812.63 and 164,616.95

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Solution

The fourth proportional to 300,585.47, 414,812.63 and 164,616.95 is: 227,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,585.47 : 414,812.63 = 164,616.95 : x
  2. Step 2: Convert to fraction form
    300,585.47/414,812.63 = 164,616.95/x
  3. Step 3: Cross multiply
    300,585.47x = 414,812.63 × 164,616.95
  4. Step 4: Simplify right side
    300,585.47x = 68,285,189,972.08
  5. Step 5: Solve for x
    x = 68,285,189,972.08/300,585.47
  6. Step 6: Final answer
    x = 227,173.95

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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.