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Finding the Fourth Proportional to 301,732.96, 416,345.20 and 174,383.96

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Solution

The fourth proportional to 301,732.96, 416,345.20 and 174,383.96 is: 240,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,732.96 : 416,345.20 = 174,383.96 : x
  2. Step 2: Convert to fraction form
    301,732.96/416,345.20 = 174,383.96/x
  3. Step 3: Cross multiply
    301,732.96x = 416,345.20 × 174,383.96
  4. Step 4: Simplify right side
    301,732.96x = 72,603,924,702.99
  5. Step 5: Solve for x
    x = 72,603,924,702.99/301,732.96
  6. Step 6: Final answer
    x = 240,623.11

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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.