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Finding the Fourth Proportional to 1,405,668.96, 1,939,703.96 and 824,832.12

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Solution

The fourth proportional to 1,405,668.96, 1,939,703.96 and 824,832.12 is: 1,138,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,668.96 : 1,939,703.96 = 824,832.12 : x
  2. Step 2: Convert to fraction form
    1,405,668.96/1,939,703.96 = 824,832.12/x
  3. Step 3: Cross multiply
    1,405,668.96x = 1,939,703.96 × 824,832.12
  4. Step 4: Simplify right side
    1,405,668.96x = 1,599,930,129,499.20
  5. Step 5: Solve for x
    x = 1,599,930,129,499.20/1,405,668.96
  6. Step 6: Final answer
    x = 1,138,198.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.