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Finding the Fourth Proportional to 310,045.80, 463,902.30 and 205,069.80

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Solution

The fourth proportional to 310,045.80, 463,902.30 and 205,069.80 is: 306,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,045.80 : 463,902.30 = 205,069.80 : x
  2. Step 2: Convert to fraction form
    310,045.80/463,902.30 = 205,069.80/x
  3. Step 3: Cross multiply
    310,045.80x = 463,902.30 × 205,069.80
  4. Step 4: Simplify right side
    310,045.80x = 95,132,351,880.54
  5. Step 5: Solve for x
    x = 95,132,351,880.54/310,045.80
  6. Step 6: Final answer
    x = 306,833.22

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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.