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Finding the Fourth Proportional to 308,063.60, 462,095.40 and 271,905.20

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Solution

The fourth proportional to 308,063.60, 462,095.40 and 271,905.20 is: 407,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,063.60 : 462,095.40 = 271,905.20 : x
  2. Step 2: Convert to fraction form
    308,063.60/462,095.40 = 271,905.20/x
  3. Step 3: Cross multiply
    308,063.60x = 462,095.40 × 271,905.20
  4. Step 4: Simplify right side
    308,063.60x = 125,646,142,156.08
  5. Step 5: Solve for x
    x = 125,646,142,156.08/308,063.60
  6. Step 6: Final answer
    x = 407,857.80

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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.