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Finding the Fourth Proportional to 511,798.83, 706,278.44 and 282,365.79

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Solution

The fourth proportional to 511,798.83, 706,278.44 and 282,365.79 is: 389,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.83 : 706,278.44 = 282,365.79 : x
  2. Step 2: Convert to fraction form
    511,798.83/706,278.44 = 282,365.79/x
  3. Step 3: Cross multiply
    511,798.83x = 706,278.44 × 282,365.79
  4. Step 4: Simplify right side
    511,798.83x = 199,428,868,963.74
  5. Step 5: Solve for x
    x = 199,428,868,963.74/511,798.83
  6. Step 6: Final answer
    x = 389,662.61

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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.