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Finding the Fourth Proportional to 397,271.56, 595,719.96 and 144,374.20

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Solution

The fourth proportional to 397,271.56, 595,719.96 and 144,374.20 is: 216,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,271.56 : 595,719.96 = 144,374.20 : x
  2. Step 2: Convert to fraction form
    397,271.56/595,719.96 = 144,374.20/x
  3. Step 3: Cross multiply
    397,271.56x = 595,719.96 × 144,374.20
  4. Step 4: Simplify right side
    397,271.56x = 86,006,592,649.03
  5. Step 5: Solve for x
    x = 86,006,592,649.03/397,271.56
  6. Step 6: Final answer
    x = 216,493.20

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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.