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Finding the Fourth Proportional to 397,064.55, 595,333.53 and 144,315.03

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Solution

The fourth proportional to 397,064.55, 595,333.53 and 144,315.03 is: 216,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,064.55 : 595,333.53 = 144,315.03 : x
  2. Step 2: Convert to fraction form
    397,064.55/595,333.53 = 144,315.03/x
  3. Step 3: Cross multiply
    397,064.55x = 595,333.53 × 144,315.03
  4. Step 4: Simplify right side
    397,064.55x = 85,915,576,241.96
  5. Step 5: Solve for x
    x = 85,915,576,241.96/397,064.55
  6. Step 6: Final answer
    x = 216,376.85

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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.