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Finding the Fourth Proportional to 597,468.65, 824,496.38 and 325,538.76

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Solution

The fourth proportional to 597,468.65, 824,496.38 and 325,538.76 is: 449,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,468.65 : 824,496.38 = 325,538.76 : x
  2. Step 2: Convert to fraction form
    597,468.65/824,496.38 = 325,538.76/x
  3. Step 3: Cross multiply
    597,468.65x = 824,496.38 × 325,538.76
  4. Step 4: Simplify right side
    597,468.65x = 268,405,529,169.69
  5. Step 5: Solve for x
    x = 268,405,529,169.69/597,468.65
  6. Step 6: Final answer
    x = 449,237.85

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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.