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Finding the Fourth Proportional to 329,710.80, 494,566.20 and 310,027.80

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Solution

The fourth proportional to 329,710.80, 494,566.20 and 310,027.80 is: 465,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,710.80 : 494,566.20 = 310,027.80 : x
  2. Step 2: Convert to fraction form
    329,710.80/494,566.20 = 310,027.80/x
  3. Step 3: Cross multiply
    329,710.80x = 494,566.20 × 310,027.80
  4. Step 4: Simplify right side
    329,710.80x = 153,329,270,940.36
  5. Step 5: Solve for x
    x = 153,329,270,940.36/329,710.80
  6. Step 6: Final answer
    x = 465,041.70

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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.