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Finding the Fourth Proportional to 511,852.96, 706,411.92 and 285,577.12

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Solution

The fourth proportional to 511,852.96, 706,411.92 and 285,577.12 is: 394,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,852.96 : 706,411.92 = 285,577.12 : x
  2. Step 2: Convert to fraction form
    511,852.96/706,411.92 = 285,577.12/x
  3. Step 3: Cross multiply
    511,852.96x = 706,411.92 × 285,577.12
  4. Step 4: Simplify right side
    511,852.96x = 201,735,081,647.27
  5. Step 5: Solve for x
    x = 201,735,081,647.27/511,852.96
  6. Step 6: Final answer
    x = 394,127.02

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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.