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Finding the Fourth Proportional to 469,421.64, 704,173.92 and 132,465.24

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Solution

The fourth proportional to 469,421.64, 704,173.92 and 132,465.24 is: 198,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,421.64 : 704,173.92 = 132,465.24 : x
  2. Step 2: Convert to fraction form
    469,421.64/704,173.92 = 132,465.24/x
  3. Step 3: Cross multiply
    469,421.64x = 704,173.92 × 132,465.24
  4. Step 4: Simplify right side
    469,421.64x = 93,278,567,314.54
  5. Step 5: Solve for x
    x = 93,278,567,314.54/469,421.64
  6. Step 6: Final answer
    x = 198,709.56

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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.