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Finding the Fourth Proportional to 265,884.63, 367,056.24 and 205,319.31

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Solution

The fourth proportional to 265,884.63, 367,056.24 and 205,319.31 is: 283,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884.63 : 367,056.24 = 205,319.31 : x
  2. Step 2: Convert to fraction form
    265,884.63/367,056.24 = 205,319.31/x
  3. Step 3: Cross multiply
    265,884.63x = 367,056.24 × 205,319.31
  4. Step 4: Simplify right side
    265,884.63x = 75,363,731,066.12
  5. Step 5: Solve for x
    x = 75,363,731,066.12/265,884.63
  6. Step 6: Final answer
    x = 283,445.24

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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.