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Finding the Fourth Proportional to 469,693.14, 704,582.58 and 132,738.66

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Solution

The fourth proportional to 469,693.14, 704,582.58 and 132,738.66 is: 199,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693.14 : 704,582.58 = 132,738.66 : x
  2. Step 2: Convert to fraction form
    469,693.14/704,582.58 = 132,738.66/x
  3. Step 3: Cross multiply
    469,693.14x = 704,582.58 × 132,738.66
  4. Step 4: Simplify right side
    469,693.14x = 93,525,347,528.54
  5. Step 5: Solve for x
    x = 93,525,347,528.54/469,693.14
  6. Step 6: Final answer
    x = 199,120.11

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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.