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Finding the Fourth Proportional to 597,615.33, 824,709.30 and 325,683.30

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Solution

The fourth proportional to 597,615.33, 824,709.30 and 325,683.30 is: 449,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,615.33 : 824,709.30 = 325,683.30 : x
  2. Step 2: Convert to fraction form
    597,615.33/824,709.30 = 325,683.30/x
  3. Step 3: Cross multiply
    597,615.33x = 824,709.30 × 325,683.30
  4. Step 4: Simplify right side
    597,615.33x = 268,594,046,364.69
  5. Step 5: Solve for x
    x = 268,594,046,364.69/597,615.33
  6. Step 6: Final answer
    x = 449,443.03

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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.