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Finding the Fourth Proportional to 311,592.16, 467,446.32 and 101,173.60

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Solution

The fourth proportional to 311,592.16, 467,446.32 and 101,173.60 is: 151,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,592.16 : 467,446.32 = 101,173.60 : x
  2. Step 2: Convert to fraction form
    311,592.16/467,446.32 = 101,173.60/x
  3. Step 3: Cross multiply
    311,592.16x = 467,446.32 × 101,173.60
  4. Step 4: Simplify right side
    311,592.16x = 47,293,227,001.15
  5. Step 5: Solve for x
    x = 47,293,227,001.15/311,592.16
  6. Step 6: Final answer
    x = 151,779.26

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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.