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Finding the Fourth Proportional to 463,891.32, 695,879.46 and 144,045

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Solution

The fourth proportional to 463,891.32, 695,879.46 and 144,045 is: 216,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,891.32 : 695,879.46 = 144,045 : x
  2. Step 2: Convert to fraction form
    463,891.32/695,879.46 = 144,045/x
  3. Step 3: Cross multiply
    463,891.32x = 695,879.46 × 144,045
  4. Step 4: Simplify right side
    463,891.32x = 100,237,956,815.70
  5. Step 5: Solve for x
    x = 100,237,956,815.70/463,891.32
  6. Step 6: Final answer
    x = 216,080.69

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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.