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Finding the Fourth Proportional to 384,179.08, 575,802.02 and 271,892.12

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Solution

The fourth proportional to 384,179.08, 575,802.02 and 271,892.12 is: 407,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,179.08 : 575,802.02 = 271,892.12 : x
  2. Step 2: Convert to fraction form
    384,179.08/575,802.02 = 271,892.12/x
  3. Step 3: Cross multiply
    384,179.08x = 575,802.02 × 271,892.12
  4. Step 4: Simplify right side
    384,179.08x = 156,556,031,918.08
  5. Step 5: Solve for x
    x = 156,556,031,918.08/384,179.08
  6. Step 6: Final answer
    x = 407,507.96

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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.