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Finding the Fourth Proportional to 511,582.40, 706,033.62 and 382,296.37

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Solution

The fourth proportional to 511,582.40, 706,033.62 and 382,296.37 is: 527,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,582.40 : 706,033.62 = 382,296.37 : x
  2. Step 2: Convert to fraction form
    511,582.40/706,033.62 = 382,296.37/x
  3. Step 3: Cross multiply
    511,582.40x = 706,033.62 × 382,296.37
  4. Step 4: Simplify right side
    511,582.40x = 269,914,088,258.88
  5. Step 5: Solve for x
    x = 269,914,088,258.88/511,582.40
  6. Step 6: Final answer
    x = 527,606.28

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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.