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Finding the Fourth Proportional to 463,514.40, 695,284.56 and 163,952.64

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Solution

The fourth proportional to 463,514.40, 695,284.56 and 163,952.64 is: 245,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,514.40 : 695,284.56 = 163,952.64 : x
  2. Step 2: Convert to fraction form
    463,514.40/695,284.56 = 163,952.64/x
  3. Step 3: Cross multiply
    463,514.40x = 695,284.56 × 163,952.64
  4. Step 4: Simplify right side
    463,514.40x = 113,993,739,163.24
  5. Step 5: Solve for x
    x = 113,993,739,163.24/463,514.40
  6. Step 6: Final answer
    x = 245,933.54

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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.