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Finding the Fourth Proportional to 472,622.44, 707,268.30 and 295,213

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Solution

The fourth proportional to 472,622.44, 707,268.30 and 295,213 is: 441,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,622.44 : 707,268.30 = 295,213 : x
  2. Step 2: Convert to fraction form
    472,622.44/707,268.30 = 295,213/x
  3. Step 3: Cross multiply
    472,622.44x = 707,268.30 × 295,213
  4. Step 4: Simplify right side
    472,622.44x = 208,794,796,647.90
  5. Step 5: Solve for x
    x = 208,794,796,647.90/472,622.44
  6. Step 6: Final answer
    x = 441,779.27

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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.