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Finding the Fourth Proportional to 511,664.58, 767,498.67 and 156,677.04

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Solution

The fourth proportional to 511,664.58, 767,498.67 and 156,677.04 is: 235,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,664.58 : 767,498.67 = 156,677.04 : x
  2. Step 2: Convert to fraction form
    511,664.58/767,498.67 = 156,677.04/x
  3. Step 3: Cross multiply
    511,664.58x = 767,498.67 × 156,677.04
  4. Step 4: Simplify right side
    511,664.58x = 120,249,419,819.54
  5. Step 5: Solve for x
    x = 120,249,419,819.54/511,664.58
  6. Step 6: Final answer
    x = 235,016.11

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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.