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Finding the Fourth Proportional to 399,134.16, 598,813.56 and 174,514.32

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Solution

The fourth proportional to 399,134.16, 598,813.56 and 174,514.32 is: 261,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,134.16 : 598,813.56 = 174,514.32 : x
  2. Step 2: Convert to fraction form
    399,134.16/598,813.56 = 174,514.32/x
  3. Step 3: Cross multiply
    399,134.16x = 598,813.56 × 174,514.32
  4. Step 4: Simplify right side
    399,134.16x = 104,501,541,230.18
  5. Step 5: Solve for x
    x = 104,501,541,230.18/399,134.16
  6. Step 6: Final answer
    x = 261,820.59

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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.