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Finding the Fourth Proportional to 469,016.24, 703,514.64 and 114,032.12

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Solution

The fourth proportional to 469,016.24, 703,514.64 and 114,032.12 is: 171,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,016.24 : 703,514.64 = 114,032.12 : x
  2. Step 2: Convert to fraction form
    469,016.24/703,514.64 = 114,032.12/x
  3. Step 3: Cross multiply
    469,016.24x = 703,514.64 × 114,032.12
  4. Step 4: Simplify right side
    469,016.24x = 80,223,265,850.24
  5. Step 5: Solve for x
    x = 80,223,265,850.24/469,016.24
  6. Step 6: Final answer
    x = 171,045.82

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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.