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Finding the Fourth Proportional to 414,729.08, 621,097.16 and 236,696.34

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Solution

The fourth proportional to 414,729.08, 621,097.16 and 236,696.34 is: 354,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,729.08 : 621,097.16 = 236,696.34 : x
  2. Step 2: Convert to fraction form
    414,729.08/621,097.16 = 236,696.34/x
  3. Step 3: Cross multiply
    414,729.08x = 621,097.16 × 236,696.34
  4. Step 4: Simplify right side
    414,729.08x = 147,011,426,700.88
  5. Step 5: Solve for x
    x = 147,011,426,700.88/414,729.08
  6. Step 6: Final answer
    x = 354,475.81

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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.