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Finding the Fourth Proportional to 301,884.42, 416,427.02 and 188,510.34

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Solution

The fourth proportional to 301,884.42, 416,427.02 and 188,510.34 is: 260,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,884.42 : 416,427.02 = 188,510.34 : x
  2. Step 2: Convert to fraction form
    301,884.42/416,427.02 = 188,510.34/x
  3. Step 3: Cross multiply
    301,884.42x = 416,427.02 × 188,510.34
  4. Step 4: Simplify right side
    301,884.42x = 78,500,799,125.39
  5. Step 5: Solve for x
    x = 78,500,799,125.39/301,884.42
  6. Step 6: Final answer
    x = 260,035.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.