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Finding the Fourth Proportional to 546,514.54, 819,796.43 and 167,407.64

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Solution

The fourth proportional to 546,514.54, 819,796.43 and 167,407.64 is: 251,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,514.54 : 819,796.43 = 167,407.64 : x
  2. Step 2: Convert to fraction form
    546,514.54/819,796.43 = 167,407.64/x
  3. Step 3: Cross multiply
    546,514.54x = 819,796.43 × 167,407.64
  4. Step 4: Simplify right side
    546,514.54x = 137,240,180,690.71
  5. Step 5: Solve for x
    x = 137,240,180,690.71/546,514.54
  6. Step 6: Final answer
    x = 251,118.99

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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.