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Finding the Fourth Proportional to 644,675.32, 967,021.80 and 171,358.24

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Solution

The fourth proportional to 644,675.32, 967,021.80 and 171,358.24 is: 257,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,675.32 : 967,021.80 = 171,358.24 : x
  2. Step 2: Convert to fraction form
    644,675.32/967,021.80 = 171,358.24/x
  3. Step 3: Cross multiply
    644,675.32x = 967,021.80 × 171,358.24
  4. Step 4: Simplify right side
    644,675.32x = 165,707,153,689.63
  5. Step 5: Solve for x
    x = 165,707,153,689.63/644,675.32
  6. Step 6: Final answer
    x = 257,039.70

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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.