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Finding the Fourth Proportional to 301,329.75, 415,804.77 and 180,467.94

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Solution

The fourth proportional to 301,329.75, 415,804.77 and 180,467.94 is: 249,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,329.75 : 415,804.77 = 180,467.94 : x
  2. Step 2: Convert to fraction form
    301,329.75/415,804.77 = 180,467.94/x
  3. Step 3: Cross multiply
    301,329.75x = 415,804.77 × 180,467.94
  4. Step 4: Simplify right side
    301,329.75x = 75,039,430,284.07
  5. Step 5: Solve for x
    x = 75,039,430,284.07/301,329.75
  6. Step 6: Final answer
    x = 249,027.62

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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.