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Finding the Fourth Proportional to 511,185.93, 705,477.11 and 281,784

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Solution

The fourth proportional to 511,185.93, 705,477.11 and 281,784 is: 388,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,185.93 : 705,477.11 = 281,784 : x
  2. Step 2: Convert to fraction form
    511,185.93/705,477.11 = 281,784/x
  3. Step 3: Cross multiply
    511,185.93x = 705,477.11 × 281,784
  4. Step 4: Simplify right side
    511,185.93x = 198,792,160,555.32
  5. Step 5: Solve for x
    x = 198,792,160,555.32/511,185.93
  6. Step 6: Final answer
    x = 388,884.26

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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.