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Finding the Fourth Proportional to 301,495.65, 416,065.86 and 165,535.53

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Solution

The fourth proportional to 301,495.65, 416,065.86 and 165,535.53 is: 228,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,495.65 : 416,065.86 = 165,535.53 : x
  2. Step 2: Convert to fraction form
    301,495.65/416,065.86 = 165,535.53/x
  3. Step 3: Cross multiply
    301,495.65x = 416,065.86 × 165,535.53
  4. Step 4: Simplify right side
    301,495.65x = 68,873,682,650.01
  5. Step 5: Solve for x
    x = 68,873,682,650.01/301,495.65
  6. Step 6: Final answer
    x = 228,440.05

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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.