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Finding the Fourth Proportional to 511,676.52, 767,516.70 and 156,689.16

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Solution

The fourth proportional to 511,676.52, 767,516.70 and 156,689.16 is: 235,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,676.52 : 767,516.70 = 156,689.16 : x
  2. Step 2: Convert to fraction form
    511,676.52/767,516.70 = 156,689.16/x
  3. Step 3: Cross multiply
    511,676.52x = 767,516.70 × 156,689.16
  4. Step 4: Simplify right side
    511,676.52x = 120,261,547,008.97
  5. Step 5: Solve for x
    x = 120,261,547,008.97/511,676.52
  6. Step 6: Final answer
    x = 235,034.33

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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.