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Finding the Fourth Proportional to 471,814.29, 707,744.77 and 134,904.51

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Solution

The fourth proportional to 471,814.29, 707,744.77 and 134,904.51 is: 202,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,814.29 : 707,744.77 = 134,904.51 : x
  2. Step 2: Convert to fraction form
    471,814.29/707,744.77 = 134,904.51/x
  3. Step 3: Cross multiply
    471,814.29x = 707,744.77 × 134,904.51
  4. Step 4: Simplify right side
    471,814.29x = 95,477,961,064.65
  5. Step 5: Solve for x
    x = 95,477,961,064.65/471,814.29
  6. Step 6: Final answer
    x = 202,363.44

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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.