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Finding the Fourth Proportional to 433,471.32, 650,141.37 and 117,952.83

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Solution

The fourth proportional to 433,471.32, 650,141.37 and 117,952.83 is: 176,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,471.32 : 650,141.37 = 117,952.83 : x
  2. Step 2: Convert to fraction form
    433,471.32/650,141.37 = 117,952.83/x
  3. Step 3: Cross multiply
    433,471.32x = 650,141.37 × 117,952.83
  4. Step 4: Simplify right side
    433,471.32x = 76,686,014,491.58
  5. Step 5: Solve for x
    x = 76,686,014,491.58/433,471.32
  6. Step 6: Final answer
    x = 176,911.39

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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.