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Finding the Fourth Proportional to 469,683.63, 704,462.40 and 132,754.77

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Solution

The fourth proportional to 469,683.63, 704,462.40 and 132,754.77 is: 199,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,683.63 : 704,462.40 = 132,754.77 : x
  2. Step 2: Convert to fraction form
    469,683.63/704,462.40 = 132,754.77/x
  3. Step 3: Cross multiply
    469,683.63x = 704,462.40 × 132,754.77
  4. Step 4: Simplify right side
    469,683.63x = 93,520,743,885.65
  5. Step 5: Solve for x
    x = 93,520,743,885.65/469,683.63
  6. Step 6: Final answer
    x = 199,114.34

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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.