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Finding the Fourth Proportional to 308,941.40, 463,412.10 and 131,454.20

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Solution

The fourth proportional to 308,941.40, 463,412.10 and 131,454.20 is: 197,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,941.40 : 463,412.10 = 131,454.20 : x
  2. Step 2: Convert to fraction form
    308,941.40/463,412.10 = 131,454.20/x
  3. Step 3: Cross multiply
    308,941.40x = 463,412.10 × 131,454.20
  4. Step 4: Simplify right side
    308,941.40x = 60,917,466,875.82
  5. Step 5: Solve for x
    x = 60,917,466,875.82/308,941.40
  6. Step 6: Final answer
    x = 197,181.30

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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.