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Finding the Fourth Proportional to 301,165.72, 415,684.34 and 204,533.12

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Solution

The fourth proportional to 301,165.72, 415,684.34 and 204,533.12 is: 282,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,165.72 : 415,684.34 = 204,533.12 : x
  2. Step 2: Convert to fraction form
    301,165.72/415,684.34 = 204,533.12/x
  3. Step 3: Cross multiply
    301,165.72x = 415,684.34 × 204,533.12
  4. Step 4: Simplify right side
    301,165.72x = 85,021,214,995.34
  5. Step 5: Solve for x
    x = 85,021,214,995.34/301,165.72
  6. Step 6: Final answer
    x = 282,307.08

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