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Finding the Fourth Proportional to 301,731.48, 416,389.61 and 165,774.20

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Solution

The fourth proportional to 301,731.48, 416,389.61 and 165,774.20 is: 228,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,731.48 : 416,389.61 = 165,774.20 : x
  2. Step 2: Convert to fraction form
    301,731.48/416,389.61 = 165,774.20/x
  3. Step 3: Cross multiply
    301,731.48x = 416,389.61 × 165,774.20
  4. Step 4: Simplify right side
    301,731.48x = 69,026,652,818.55
  5. Step 5: Solve for x
    x = 69,026,652,818.55/301,731.48
  6. Step 6: Final answer
    x = 228,768.48

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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.