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Finding the Fourth Proportional to 397,274.64, 595,724.44 and 144,378.96

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Solution

The fourth proportional to 397,274.64, 595,724.44 and 144,378.96 is: 216,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,274.64 : 595,724.44 = 144,378.96 : x
  2. Step 2: Convert to fraction form
    397,274.64/595,724.44 = 144,378.96/x
  3. Step 3: Cross multiply
    397,274.64x = 595,724.44 × 144,378.96
  4. Step 4: Simplify right side
    397,274.64x = 86,010,075,093.78
  5. Step 5: Solve for x
    x = 86,010,075,093.78/397,274.64
  6. Step 6: Final answer
    x = 216,500.29

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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.