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Finding the Fourth Proportional to 329,827.20, 494,740.80 and 307,708.80

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Solution

The fourth proportional to 329,827.20, 494,740.80 and 307,708.80 is: 461,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,827.20 : 494,740.80 = 307,708.80 : x
  2. Step 2: Convert to fraction form
    329,827.20/494,740.80 = 307,708.80/x
  3. Step 3: Cross multiply
    329,827.20x = 494,740.80 × 307,708.80
  4. Step 4: Simplify right side
    329,827.20x = 152,236,097,879.04
  5. Step 5: Solve for x
    x = 152,236,097,879.04/329,827.20
  6. Step 6: Final answer
    x = 461,563.20

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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.