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Finding the Fourth Proportional to 511,069.40, 705,266.09 and 281,647.90

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Solution

The fourth proportional to 511,069.40, 705,266.09 and 281,647.90 is: 388,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,069.40 : 705,266.09 = 281,647.90 : x
  2. Step 2: Convert to fraction form
    511,069.40/705,266.09 = 281,647.90/x
  3. Step 3: Cross multiply
    511,069.40x = 705,266.09 × 281,647.90
  4. Step 4: Simplify right side
    511,069.40x = 198,636,708,695.93
  5. Step 5: Solve for x
    x = 198,636,708,695.93/511,069.40
  6. Step 6: Final answer
    x = 388,668.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.