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Finding the Fourth Proportional to 263,685.96, 395,525.64 and 64,008

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Solution

The fourth proportional to 263,685.96, 395,525.64 and 64,008 is: 96,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,685.96 : 395,525.64 = 64,008 : x
  2. Step 2: Convert to fraction form
    263,685.96/395,525.64 = 64,008/x
  3. Step 3: Cross multiply
    263,685.96x = 395,525.64 × 64,008
  4. Step 4: Simplify right side
    263,685.96x = 25,316,805,165.12
  5. Step 5: Solve for x
    x = 25,316,805,165.12/263,685.96
  6. Step 6: Final answer
    x = 96,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.