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Finding the Fourth Proportional to 546,464.83, 819,751.92 and 167,381.18

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Solution

The fourth proportional to 546,464.83, 819,751.92 and 167,381.18 is: 251,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,464.83 : 819,751.92 = 167,381.18 : x
  2. Step 2: Convert to fraction form
    546,464.83/819,751.92 = 167,381.18/x
  3. Step 3: Cross multiply
    546,464.83x = 819,751.92 × 167,381.18
  4. Step 4: Simplify right side
    546,464.83x = 137,211,043,676.87
  5. Step 5: Solve for x
    x = 137,211,043,676.87/546,464.83
  6. Step 6: Final answer
    x = 251,088.52

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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.