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Finding the Fourth Proportional to 398,021.60, 596,157.60 and 161,242.40

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Solution

The fourth proportional to 398,021.60, 596,157.60 and 161,242.40 is: 241,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,021.60 : 596,157.60 = 161,242.40 : x
  2. Step 2: Convert to fraction form
    398,021.60/596,157.60 = 161,242.40/x
  3. Step 3: Cross multiply
    398,021.60x = 596,157.60 × 161,242.40
  4. Step 4: Simplify right side
    398,021.60x = 96,125,882,202.24
  5. Step 5: Solve for x
    x = 96,125,882,202.24/398,021.60
  6. Step 6: Final answer
    x = 241,509.21

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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.