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Finding the Fourth Proportional to 589,415.92, 813,463.11 and 331,293.22

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Solution

The fourth proportional to 589,415.92, 813,463.11 and 331,293.22 is: 457,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,415.92 : 813,463.11 = 331,293.22 : x
  2. Step 2: Convert to fraction form
    589,415.92/813,463.11 = 331,293.22/x
  3. Step 3: Cross multiply
    589,415.92x = 813,463.11 × 331,293.22
  4. Step 4: Simplify right side
    589,415.92x = 269,494,813,063.11
  5. Step 5: Solve for x
    x = 269,494,813,063.11/589,415.92
  6. Step 6: Final answer
    x = 457,223.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.