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Finding the Fourth Proportional to 320,382, 480,556.44 and 95,744.30

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Solution

The fourth proportional to 320,382, 480,556.44 and 95,744.30 is: 143,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,382 : 480,556.44 = 95,744.30 : x
  2. Step 2: Convert to fraction form
    320,382/480,556.44 = 95,744.30/x
  3. Step 3: Cross multiply
    320,382x = 480,556.44 × 95,744.30
  4. Step 4: Simplify right side
    320,382x = 46,010,537,555.51
  5. Step 5: Solve for x
    x = 46,010,537,555.51/320,382
  6. Step 6: Final answer
    x = 143,611.49

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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.