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Finding the Fourth Proportional to 511,722.05, 766,960.40 and 362,005.49

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Solution

The fourth proportional to 511,722.05, 766,960.40 and 362,005.49 is: 542,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,722.05 : 766,960.40 = 362,005.49 : x
  2. Step 2: Convert to fraction form
    511,722.05/766,960.40 = 362,005.49/x
  3. Step 3: Cross multiply
    511,722.05x = 766,960.40 × 362,005.49
  4. Step 4: Simplify right side
    511,722.05x = 277,643,869,767.77
  5. Step 5: Solve for x
    x = 277,643,869,767.77/511,722.05
  6. Step 6: Final answer
    x = 542,567.73

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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.