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Finding the Fourth Proportional to 401,538.80, 602,308.20 and 308,226.80

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Solution

The fourth proportional to 401,538.80, 602,308.20 and 308,226.80 is: 462,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,538.80 : 602,308.20 = 308,226.80 : x
  2. Step 2: Convert to fraction form
    401,538.80/602,308.20 = 308,226.80/x
  3. Step 3: Cross multiply
    401,538.80x = 602,308.20 × 308,226.80
  4. Step 4: Simplify right side
    401,538.80x = 185,647,529,099.76
  5. Step 5: Solve for x
    x = 185,647,529,099.76/401,538.80
  6. Step 6: Final answer
    x = 462,340.20

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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.