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Finding the Fourth Proportional to 312,032.70, 468,049.05 and 154,568.70

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Solution

The fourth proportional to 312,032.70, 468,049.05 and 154,568.70 is: 231,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,032.70 : 468,049.05 = 154,568.70 : x
  2. Step 2: Convert to fraction form
    312,032.70/468,049.05 = 154,568.70/x
  3. Step 3: Cross multiply
    312,032.70x = 468,049.05 × 154,568.70
  4. Step 4: Simplify right side
    312,032.70x = 72,345,733,194.74
  5. Step 5: Solve for x
    x = 72,345,733,194.74/312,032.70
  6. Step 6: Final answer
    x = 231,853.05

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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.