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Finding the Fourth Proportional to 366,361.76, 505,598.28 and 205,207.40

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Solution

The fourth proportional to 366,361.76, 505,598.28 and 205,207.40 is: 283,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,361.76 : 505,598.28 = 205,207.40 : x
  2. Step 2: Convert to fraction form
    366,361.76/505,598.28 = 205,207.40/x
  3. Step 3: Cross multiply
    366,361.76x = 505,598.28 × 205,207.40
  4. Step 4: Simplify right side
    366,361.76x = 103,752,508,483.27
  5. Step 5: Solve for x
    x = 103,752,508,483.27/366,361.76
  6. Step 6: Final answer
    x = 283,196.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.