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Finding the Fourth Proportional to 511,354.63, 705,673.96 and 281,920.05

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Solution

The fourth proportional to 511,354.63, 705,673.96 and 281,920.05 is: 389,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,354.63 : 705,673.96 = 281,920.05 : x
  2. Step 2: Convert to fraction form
    511,354.63/705,673.96 = 281,920.05/x
  3. Step 3: Cross multiply
    511,354.63x = 705,673.96 × 281,920.05
  4. Step 4: Simplify right side
    511,354.63x = 198,943,641,548.51
  5. Step 5: Solve for x
    x = 198,943,641,548.51/511,354.63
  6. Step 6: Final answer
    x = 389,052.19

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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.