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Finding the Fourth Proportional to 511,336.33, 705,646.29 and 281,888.37

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Solution

The fourth proportional to 511,336.33, 705,646.29 and 281,888.37 is: 389,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,336.33 : 705,646.29 = 281,888.37 : x
  2. Step 2: Convert to fraction form
    511,336.33/705,646.29 = 281,888.37/x
  3. Step 3: Cross multiply
    511,336.33x = 705,646.29 × 281,888.37
  4. Step 4: Simplify right side
    511,336.33x = 198,913,483,541.73
  5. Step 5: Solve for x
    x = 198,913,483,541.73/511,336.33
  6. Step 6: Final answer
    x = 389,007.14

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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.