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Finding the Fourth Proportional to 301,383.07, 415,909.16 and 165,417.91

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Solution

The fourth proportional to 301,383.07, 415,909.16 and 165,417.91 is: 228,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,383.07 : 415,909.16 = 165,417.91 : x
  2. Step 2: Convert to fraction form
    301,383.07/415,909.16 = 165,417.91/x
  3. Step 3: Cross multiply
    301,383.07x = 415,909.16 × 165,417.91
  4. Step 4: Simplify right side
    301,383.07x = 68,798,823,997.06
  5. Step 5: Solve for x
    x = 68,798,823,997.06/301,383.07
  6. Step 6: Final answer
    x = 228,277.00

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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.