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Finding the Fourth Proportional to 397,802.40, 596,185.20 and 160,951.20

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Solution

The fourth proportional to 397,802.40, 596,185.20 and 160,951.20 is: 241,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,802.40 : 596,185.20 = 160,951.20 : x
  2. Step 2: Convert to fraction form
    397,802.40/596,185.20 = 160,951.20/x
  3. Step 3: Cross multiply
    397,802.40x = 596,185.20 × 160,951.20
  4. Step 4: Simplify right side
    397,802.40x = 95,956,723,362.24
  5. Step 5: Solve for x
    x = 95,956,723,362.24/397,802.40
  6. Step 6: Final answer
    x = 241,217.05

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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.