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Finding the Fourth Proportional to 397,178.53, 595,580.63 and 144,280.73

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Solution

The fourth proportional to 397,178.53, 595,580.63 and 144,280.73 is: 216,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,178.53 : 595,580.63 = 144,280.73 : x
  2. Step 2: Convert to fraction form
    397,178.53/595,580.63 = 144,280.73/x
  3. Step 3: Cross multiply
    397,178.53x = 595,580.63 × 144,280.73
  4. Step 4: Simplify right side
    397,178.53x = 85,930,808,070.26
  5. Step 5: Solve for x
    x = 85,930,808,070.26/397,178.53
  6. Step 6: Final answer
    x = 216,353.10

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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.