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Finding the Fourth Proportional to 511,584.40, 706,036.38 and 382,298.36

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Solution

The fourth proportional to 511,584.40, 706,036.38 and 382,298.36 is: 527,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,584.40 : 706,036.38 = 382,298.36 : x
  2. Step 2: Convert to fraction form
    511,584.40/706,036.38 = 382,298.36/x
  3. Step 3: Cross multiply
    511,584.40x = 706,036.38 × 382,298.36
  4. Step 4: Simplify right side
    511,584.40x = 269,916,550,174.34
  5. Step 5: Solve for x
    x = 269,916,550,174.34/511,584.40
  6. Step 6: Final answer
    x = 527,609.03

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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.