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Finding the Fourth Proportional to 469,932, 704,666.52 and 170,367.64

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Solution

The fourth proportional to 469,932, 704,666.52 and 170,367.64 is: 255,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,932 : 704,666.52 = 170,367.64 : x
  2. Step 2: Convert to fraction form
    469,932/704,666.52 = 170,367.64/x
  3. Step 3: Cross multiply
    469,932x = 704,666.52 × 170,367.64
  4. Step 4: Simplify right side
    469,932x = 120,052,371,999.41
  5. Step 5: Solve for x
    x = 120,052,371,999.41/469,932
  6. Step 6: Final answer
    x = 255,467.54

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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.