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Finding the Fourth Proportional to 301,561.25, 416,135.88 and 165,594.65

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Solution

The fourth proportional to 301,561.25, 416,135.88 and 165,594.65 is: 228,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,561.25 : 416,135.88 = 165,594.65 : x
  2. Step 2: Convert to fraction form
    301,561.25/416,135.88 = 165,594.65/x
  3. Step 3: Cross multiply
    301,561.25x = 416,135.88 × 165,594.65
  4. Step 4: Simplify right side
    301,561.25x = 68,909,873,320.36
  5. Step 5: Solve for x
    x = 68,909,873,320.36/301,561.25
  6. Step 6: Final answer
    x = 228,510.38

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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.