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Finding the Fourth Proportional to 308,902.10, 463,353.15 and 242,546.90

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Solution

The fourth proportional to 308,902.10, 463,353.15 and 242,546.90 is: 363,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,902.10 : 463,353.15 = 242,546.90 : x
  2. Step 2: Convert to fraction form
    308,902.10/463,353.15 = 242,546.90/x
  3. Step 3: Cross multiply
    308,902.10x = 463,353.15 × 242,546.90
  4. Step 4: Simplify right side
    308,902.10x = 112,384,870,137.74
  5. Step 5: Solve for x
    x = 112,384,870,137.74/308,902.10
  6. Step 6: Final answer
    x = 363,820.35

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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.