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Finding the Fourth Proportional to 511,374.78, 767,172.96 and 195,831.72

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Solution

The fourth proportional to 511,374.78, 767,172.96 and 195,831.72 is: 293,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,374.78 : 767,172.96 = 195,831.72 : x
  2. Step 2: Convert to fraction form
    511,374.78/767,172.96 = 195,831.72/x
  3. Step 3: Cross multiply
    511,374.78x = 767,172.96 × 195,831.72
  4. Step 4: Simplify right side
    511,374.78x = 150,236,800,294.29
  5. Step 5: Solve for x
    x = 150,236,800,294.29/511,374.78
  6. Step 6: Final answer
    x = 293,790.01

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Why These Related Problems?

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