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Finding the Fourth Proportional to 517,878.93, 776,507.34 and 202,484.37

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Solution

The fourth proportional to 517,878.93, 776,507.34 and 202,484.37 is: 303,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,878.93 : 776,507.34 = 202,484.37 : x
  2. Step 2: Convert to fraction form
    517,878.93/776,507.34 = 202,484.37/x
  3. Step 3: Cross multiply
    517,878.93x = 776,507.34 × 202,484.37
  4. Step 4: Simplify right side
    517,878.93x = 157,230,599,540.28
  5. Step 5: Solve for x
    x = 157,230,599,540.28/517,878.93
  6. Step 6: Final answer
    x = 303,604.94

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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.