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Finding the Fourth Proportional to 511,662.52, 767,495.64 and 156,675.10

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Solution

The fourth proportional to 511,662.52, 767,495.64 and 156,675.10 is: 235,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,662.52 : 767,495.64 = 156,675.10 : x
  2. Step 2: Convert to fraction form
    511,662.52/767,495.64 = 156,675.10/x
  3. Step 3: Cross multiply
    511,662.52x = 767,495.64 × 156,675.10
  4. Step 4: Simplify right side
    511,662.52x = 120,247,456,146.56
  5. Step 5: Solve for x
    x = 120,247,456,146.56/511,662.52
  6. Step 6: Final answer
    x = 235,013.22

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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.