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Finding the Fourth Proportional to 340,971.50, 511,438.64 and 104,314.20

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Solution

The fourth proportional to 340,971.50, 511,438.64 and 104,314.20 is: 156,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,971.50 : 511,438.64 = 104,314.20 : x
  2. Step 2: Convert to fraction form
    340,971.50/511,438.64 = 104,314.20/x
  3. Step 3: Cross multiply
    340,971.50x = 511,438.64 × 104,314.20
  4. Step 4: Simplify right side
    340,971.50x = 53,350,312,059.12
  5. Step 5: Solve for x
    x = 53,350,312,059.12/340,971.50
  6. Step 6: Final answer
    x = 156,465.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.