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Finding the Fourth Proportional to 397,102.60, 595,765.10 and 160,611.40

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Solution

The fourth proportional to 397,102.60, 595,765.10 and 160,611.40 is: 240,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,102.60 : 595,765.10 = 160,611.40 : x
  2. Step 2: Convert to fraction form
    397,102.60/595,765.10 = 160,611.40/x
  3. Step 3: Cross multiply
    397,102.60x = 595,765.10 × 160,611.40
  4. Step 4: Simplify right side
    397,102.60x = 95,686,666,782.14
  5. Step 5: Solve for x
    x = 95,686,666,782.14/397,102.60
  6. Step 6: Final answer
    x = 240,962.08

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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.