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Finding the Fourth Proportional to 511,833.81, 706,333.11 and 282,391.08

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Solution

The fourth proportional to 511,833.81, 706,333.11 and 282,391.08 is: 389,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,833.81 : 706,333.11 = 282,391.08 : x
  2. Step 2: Convert to fraction form
    511,833.81/706,333.11 = 282,391.08/x
  3. Step 3: Cross multiply
    511,833.81x = 706,333.11 × 282,391.08
  4. Step 4: Simplify right side
    511,833.81x = 199,462,171,626.52
  5. Step 5: Solve for x
    x = 199,462,171,626.52/511,833.81
  6. Step 6: Final answer
    x = 389,701.05

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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.