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Finding the Fourth Proportional to 301,868.64, 416,580.72 and 188,757.60

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Solution

The fourth proportional to 301,868.64, 416,580.72 and 188,757.60 is: 260,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,868.64 : 416,580.72 = 188,757.60 : x
  2. Step 2: Convert to fraction form
    301,868.64/416,580.72 = 188,757.60/x
  3. Step 3: Cross multiply
    301,868.64x = 416,580.72 × 188,757.60
  4. Step 4: Simplify right side
    301,868.64x = 78,632,776,913.47
  5. Step 5: Solve for x
    x = 78,632,776,913.47/301,868.64
  6. Step 6: Final answer
    x = 260,486.74

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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.