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Finding the Fourth Proportional to 397,318.40, 595,459.20 and 160,467.20

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Solution

The fourth proportional to 397,318.40, 595,459.20 and 160,467.20 is: 240,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,318.40 : 595,459.20 = 160,467.20 : x
  2. Step 2: Convert to fraction form
    397,318.40/595,459.20 = 160,467.20/x
  3. Step 3: Cross multiply
    397,318.40x = 595,459.20 × 160,467.20
  4. Step 4: Simplify right side
    397,318.40x = 95,551,670,538.24
  5. Step 5: Solve for x
    x = 95,551,670,538.24/397,318.40
  6. Step 6: Final answer
    x = 240,491.43

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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.