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Finding the Fourth Proportional to 517,775.94, 776,708.82 and 158,027.88

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Solution

The fourth proportional to 517,775.94, 776,708.82 and 158,027.88 is: 237,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,775.94 : 776,708.82 = 158,027.88 : x
  2. Step 2: Convert to fraction form
    517,775.94/776,708.82 = 158,027.88/x
  3. Step 3: Cross multiply
    517,775.94x = 776,708.82 × 158,027.88
  4. Step 4: Simplify right side
    517,775.94x = 122,741,648,201.90
  5. Step 5: Solve for x
    x = 122,741,648,201.90/517,775.94
  6. Step 6: Final answer
    x = 237,055.53

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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.