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Finding the Fourth Proportional to 431,714, 595,765.32 and 252,866

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Solution

The fourth proportional to 431,714, 595,765.32 and 252,866 is: 348,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,714 : 595,765.32 = 252,866 : x
  2. Step 2: Convert to fraction form
    431,714/595,765.32 = 252,866/x
  3. Step 3: Cross multiply
    431,714x = 595,765.32 × 252,866
  4. Step 4: Simplify right side
    431,714x = 150,648,793,407.12
  5. Step 5: Solve for x
    x = 150,648,793,407.12/431,714
  6. Step 6: Final answer
    x = 348,955.08

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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.