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Finding the Fourth Proportional to 511,976.29, 768,044.64 and 156,953.29

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Solution

The fourth proportional to 511,976.29, 768,044.64 and 156,953.29 is: 235,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.29 : 768,044.64 = 156,953.29 : x
  2. Step 2: Convert to fraction form
    511,976.29/768,044.64 = 156,953.29/x
  3. Step 3: Cross multiply
    511,976.29x = 768,044.64 × 156,953.29
  4. Step 4: Simplify right side
    511,976.29x = 120,547,133,114.87
  5. Step 5: Solve for x
    x = 120,547,133,114.87/511,976.29
  6. Step 6: Final answer
    x = 235,454.52

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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.