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Finding the Fourth Proportional to 407,966.37, 611,804.75 and 119,697.56

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Solution

The fourth proportional to 407,966.37, 611,804.75 and 119,697.56 is: 179,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,966.37 : 611,804.75 = 119,697.56 : x
  2. Step 2: Convert to fraction form
    407,966.37/611,804.75 = 119,697.56/x
  3. Step 3: Cross multiply
    407,966.37x = 611,804.75 × 119,697.56
  4. Step 4: Simplify right side
    407,966.37x = 73,231,532,113.90
  5. Step 5: Solve for x
    x = 73,231,532,113.90/407,966.37
  6. Step 6: Final answer
    x = 179,503.85

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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.