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Finding the Fourth Proportional to 311,222.31, 466,085.06 and 177,697.86

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Solution

The fourth proportional to 311,222.31, 466,085.06 and 177,697.86 is: 266,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,222.31 : 466,085.06 = 177,697.86 : x
  2. Step 2: Convert to fraction form
    311,222.31/466,085.06 = 177,697.86/x
  3. Step 3: Cross multiply
    311,222.31x = 466,085.06 × 177,697.86
  4. Step 4: Simplify right side
    311,222.31x = 82,822,316,769.58
  5. Step 5: Solve for x
    x = 82,822,316,769.58/311,222.31
  6. Step 6: Final answer
    x = 266,119.48

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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.