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Finding the Fourth Proportional to 511,663.52, 767,497.14 and 156,676.10

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Solution

The fourth proportional to 511,663.52, 767,497.14 and 156,676.10 is: 235,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,663.52 : 767,497.14 = 156,676.10 : x
  2. Step 2: Convert to fraction form
    511,663.52/767,497.14 = 156,676.10/x
  3. Step 3: Cross multiply
    511,663.52x = 767,497.14 × 156,676.10
  4. Step 4: Simplify right side
    511,663.52x = 120,248,458,656.35
  5. Step 5: Solve for x
    x = 120,248,458,656.35/511,663.52
  6. Step 6: Final answer
    x = 235,014.72

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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.