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Finding the Fourth Proportional to 306,713.12, 459,696.65 and 164,208.20

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Solution

The fourth proportional to 306,713.12, 459,696.65 and 164,208.20 is: 246,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,713.12 : 459,696.65 = 164,208.20 : x
  2. Step 2: Convert to fraction form
    306,713.12/459,696.65 = 164,208.20/x
  3. Step 3: Cross multiply
    306,713.12x = 459,696.65 × 164,208.20
  4. Step 4: Simplify right side
    306,713.12x = 75,485,956,323.01
  5. Step 5: Solve for x
    x = 75,485,956,323.01/306,713.12
  6. Step 6: Final answer
    x = 246,112.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.