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Finding the Fourth Proportional to 597,596.41, 824,653.67 and 325,663.48

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Solution

The fourth proportional to 597,596.41, 824,653.67 and 325,663.48 is: 449,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,596.41 : 824,653.67 = 325,663.48 : x
  2. Step 2: Convert to fraction form
    597,596.41/824,653.67 = 325,663.48/x
  3. Step 3: Cross multiply
    597,596.41x = 824,653.67 × 325,663.48
  4. Step 4: Simplify right side
    597,596.41x = 268,559,580,277.02
  5. Step 5: Solve for x
    x = 268,559,580,277.02/597,596.41
  6. Step 6: Final answer
    x = 449,399.59

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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.