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Finding the Fourth Proportional to 334,426.99, 501,995.21 and 296,206.60

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Solution

The fourth proportional to 334,426.99, 501,995.21 and 296,206.60 is: 444,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,426.99 : 501,995.21 = 296,206.60 : x
  2. Step 2: Convert to fraction form
    334,426.99/501,995.21 = 296,206.60/x
  3. Step 3: Cross multiply
    334,426.99x = 501,995.21 × 296,206.60
  4. Step 4: Simplify right side
    334,426.99x = 148,694,294,370.39
  5. Step 5: Solve for x
    x = 148,694,294,370.39/334,426.99
  6. Step 6: Final answer
    x = 444,624.08

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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.