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Finding the Fourth Proportional to 339,701.20, 509,551.80 and 318,965.20

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Solution

The fourth proportional to 339,701.20, 509,551.80 and 318,965.20 is: 478,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,701.20 : 509,551.80 = 318,965.20 : x
  2. Step 2: Convert to fraction form
    339,701.20/509,551.80 = 318,965.20/x
  3. Step 3: Cross multiply
    339,701.20x = 509,551.80 × 318,965.20
  4. Step 4: Simplify right side
    339,701.20x = 162,529,291,797.36
  5. Step 5: Solve for x
    x = 162,529,291,797.36/339,701.20
  6. Step 6: Final answer
    x = 478,447.80

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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.