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Finding the Fourth Proportional to 511,133.60, 705,369.19 and 281,699.16

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Solution

The fourth proportional to 511,133.60, 705,369.19 and 281,699.16 is: 388,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,133.60 : 705,369.19 = 281,699.16 : x
  2. Step 2: Convert to fraction form
    511,133.60/705,369.19 = 281,699.16/x
  3. Step 3: Cross multiply
    511,133.60x = 705,369.19 × 281,699.16
  4. Step 4: Simplify right side
    511,133.60x = 198,701,907,608.63
  5. Step 5: Solve for x
    x = 198,701,907,608.63/511,133.60
  6. Step 6: Final answer
    x = 388,747.50

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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.