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Finding the Fourth Proportional to 511,242.73, 766,836.19 and 156,256.63

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Solution

The fourth proportional to 511,242.73, 766,836.19 and 156,256.63 is: 234,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,242.73 : 766,836.19 = 156,256.63 : x
  2. Step 2: Convert to fraction form
    511,242.73/766,836.19 = 156,256.63/x
  3. Step 3: Cross multiply
    511,242.73x = 766,836.19 × 156,256.63
  4. Step 4: Simplify right side
    511,242.73x = 119,823,237,089.67
  5. Step 5: Solve for x
    x = 119,823,237,089.67/511,242.73
  6. Step 6: Final answer
    x = 234,376.41

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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.