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Finding the Fourth Proportional to 517,076.57, 775,620.32 and 157,306.01

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Solution

The fourth proportional to 517,076.57, 775,620.32 and 157,306.01 is: 235,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,076.57 : 775,620.32 = 157,306.01 : x
  2. Step 2: Convert to fraction form
    517,076.57/775,620.32 = 157,306.01/x
  3. Step 3: Cross multiply
    517,076.57x = 775,620.32 × 157,306.01
  4. Step 4: Simplify right side
    517,076.57x = 122,009,739,211.41
  5. Step 5: Solve for x
    x = 122,009,739,211.41/517,076.57
  6. Step 6: Final answer
    x = 235,960.68

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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.