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Finding the Fourth Proportional to 307,815.20, 461,722.80 and 208,023.20

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Solution

The fourth proportional to 307,815.20, 461,722.80 and 208,023.20 is: 312,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,815.20 : 461,722.80 = 208,023.20 : x
  2. Step 2: Convert to fraction form
    307,815.20/461,722.80 = 208,023.20/x
  3. Step 3: Cross multiply
    307,815.20x = 461,722.80 × 208,023.20
  4. Step 4: Simplify right side
    307,815.20x = 96,049,054,368.96
  5. Step 5: Solve for x
    x = 96,049,054,368.96/307,815.20
  6. Step 6: Final answer
    x = 312,034.80

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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.