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Finding the Fourth Proportional to 511,969.60, 706,518.35 and 285,615.10

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Solution

The fourth proportional to 511,969.60, 706,518.35 and 285,615.10 is: 394,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,969.60 : 706,518.35 = 285,615.10 : x
  2. Step 2: Convert to fraction form
    511,969.60/706,518.35 = 285,615.10/x
  3. Step 3: Cross multiply
    511,969.60x = 706,518.35 × 285,615.10
  4. Step 4: Simplify right side
    511,969.60x = 201,792,305,992.71
  5. Step 5: Solve for x
    x = 201,792,305,992.71/511,969.60
  6. Step 6: Final answer
    x = 394,149.00

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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.