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Finding the Fourth Proportional to 511,988.46, 767,953.96 and 157,001.50

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Solution

The fourth proportional to 511,988.46, 767,953.96 and 157,001.50 is: 235,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,988.46 : 767,953.96 = 157,001.50 : x
  2. Step 2: Convert to fraction form
    511,988.46/767,953.96 = 157,001.50/x
  3. Step 3: Cross multiply
    511,988.46x = 767,953.96 × 157,001.50
  4. Step 4: Simplify right side
    511,988.46x = 120,569,923,650.94
  5. Step 5: Solve for x
    x = 120,569,923,650.94/511,988.46
  6. Step 6: Final answer
    x = 235,493.44

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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.