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Finding the Fourth Proportional to 397,259.20, 596,119.20 and 147,966.40

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Solution

The fourth proportional to 397,259.20, 596,119.20 and 147,966.40 is: 222,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,259.20 : 596,119.20 = 147,966.40 : x
  2. Step 2: Convert to fraction form
    397,259.20/596,119.20 = 147,966.40/x
  3. Step 3: Cross multiply
    397,259.20x = 596,119.20 × 147,966.40
  4. Step 4: Simplify right side
    397,259.20x = 88,205,611,994.88
  5. Step 5: Solve for x
    x = 88,205,611,994.88/397,259.20
  6. Step 6: Final answer
    x = 222,035.42

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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.