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Finding the Fourth Proportional to 301,832.73, 416,438.33 and 180,929.90

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Solution

The fourth proportional to 301,832.73, 416,438.33 and 180,929.90 is: 249,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832.73 : 416,438.33 = 180,929.90 : x
  2. Step 2: Convert to fraction form
    301,832.73/416,438.33 = 180,929.90/x
  3. Step 3: Cross multiply
    301,832.73x = 416,438.33 × 180,929.90
  4. Step 4: Simplify right side
    301,832.73x = 75,346,145,403.07
  5. Step 5: Solve for x
    x = 75,346,145,403.07/301,832.73
  6. Step 6: Final answer
    x = 249,628.81

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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.