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Finding the Fourth Proportional to 511,756.44, 767,011.91 and 362,039.96

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Solution

The fourth proportional to 511,756.44, 767,011.91 and 362,039.96 is: 542,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,756.44 : 767,011.91 = 362,039.96 : x
  2. Step 2: Convert to fraction form
    511,756.44/767,011.91 = 362,039.96/x
  3. Step 3: Cross multiply
    511,756.44x = 767,011.91 × 362,039.96
  4. Step 4: Simplify right side
    511,756.44x = 277,688,955,570.66
  5. Step 5: Solve for x
    x = 277,688,955,570.66/511,756.44
  6. Step 6: Final answer
    x = 542,619.37

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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.