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Finding the Fourth Proportional to 597,614.66, 824,697.35 and 325,684.90

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Solution

The fourth proportional to 597,614.66, 824,697.35 and 325,684.90 is: 449,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,614.66 : 824,697.35 = 325,684.90 : x
  2. Step 2: Convert to fraction form
    597,614.66/824,697.35 = 325,684.90/x
  3. Step 3: Cross multiply
    597,614.66x = 824,697.35 × 325,684.90
  4. Step 4: Simplify right side
    597,614.66x = 268,591,474,588.78
  5. Step 5: Solve for x
    x = 268,591,474,588.78/597,614.66
  6. Step 6: Final answer
    x = 449,439.23

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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.