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Finding the Fourth Proportional to 537,533.22, 741,795.93 and 295,833

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Solution

The fourth proportional to 537,533.22, 741,795.93 and 295,833 is: 408,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,533.22 : 741,795.93 = 295,833 : x
  2. Step 2: Convert to fraction form
    537,533.22/741,795.93 = 295,833/x
  3. Step 3: Cross multiply
    537,533.22x = 741,795.93 × 295,833
  4. Step 4: Simplify right side
    537,533.22x = 219,447,715,359.69
  5. Step 5: Solve for x
    x = 219,447,715,359.69/537,533.22
  6. Step 6: Final answer
    x = 408,249.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.