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Finding the Fourth Proportional to 511,973.96, 706,519.13 and 282,533.36

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Solution

The fourth proportional to 511,973.96, 706,519.13 and 282,533.36 is: 389,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,973.96 : 706,519.13 = 282,533.36 : x
  2. Step 2: Convert to fraction form
    511,973.96/706,519.13 = 282,533.36/x
  3. Step 3: Cross multiply
    511,973.96x = 706,519.13 × 282,533.36
  4. Step 4: Simplify right side
    511,973.96x = 199,615,218,757.91
  5. Step 5: Solve for x
    x = 199,615,218,757.91/511,973.96
  6. Step 6: Final answer
    x = 389,893.31

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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.