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Finding the Fourth Proportional to 511,405.28, 705,742.56 and 285,065.12

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Solution

The fourth proportional to 511,405.28, 705,742.56 and 285,065.12 is: 393,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,405.28 : 705,742.56 = 285,065.12 : x
  2. Step 2: Convert to fraction form
    511,405.28/705,742.56 = 285,065.12/x
  3. Step 3: Cross multiply
    511,405.28x = 705,742.56 × 285,065.12
  4. Step 4: Simplify right side
    511,405.28x = 201,182,587,555.51
  5. Step 5: Solve for x
    x = 201,182,587,555.51/511,405.28
  6. Step 6: Final answer
    x = 393,391.69

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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.