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Finding the Fourth Proportional to 398,271.92, 597,343.08 and 161,605.04

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Solution

The fourth proportional to 398,271.92, 597,343.08 and 161,605.04 is: 242,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,271.92 : 597,343.08 = 161,605.04 : x
  2. Step 2: Convert to fraction form
    398,271.92/597,343.08 = 161,605.04/x
  3. Step 3: Cross multiply
    398,271.92x = 597,343.08 × 161,605.04
  4. Step 4: Simplify right side
    398,271.92x = 96,533,652,337.12
  5. Step 5: Solve for x
    x = 96,533,652,337.12/398,271.92
  6. Step 6: Final answer
    x = 242,381.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.