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Finding the Fourth Proportional to 452,596.41, 678,927.42 and 137,077.92

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Solution

The fourth proportional to 452,596.41, 678,927.42 and 137,077.92 is: 205,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,596.41 : 678,927.42 = 137,077.92 : x
  2. Step 2: Convert to fraction form
    452,596.41/678,927.42 = 137,077.92/x
  3. Step 3: Cross multiply
    452,596.41x = 678,927.42 × 137,077.92
  4. Step 4: Simplify right side
    452,596.41x = 93,065,958,564.57
  5. Step 5: Solve for x
    x = 93,065,958,564.57/452,596.41
  6. Step 6: Final answer
    x = 205,626.82

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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.