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Finding the Fourth Proportional to 415,069.80, 622,604.87 and 320,438.14

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Solution

The fourth proportional to 415,069.80, 622,604.87 and 320,438.14 is: 480,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,069.80 : 622,604.87 = 320,438.14 : x
  2. Step 2: Convert to fraction form
    415,069.80/622,604.87 = 320,438.14/x
  3. Step 3: Cross multiply
    415,069.80x = 622,604.87 × 320,438.14
  4. Step 4: Simplify right side
    415,069.80x = 199,506,346,497.74
  5. Step 5: Solve for x
    x = 199,506,346,497.74/415,069.80
  6. Step 6: Final answer
    x = 480,657.34

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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.