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Finding the Fourth Proportional to 460,893.84, 691,340.76 and 145,375.34

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Solution

The fourth proportional to 460,893.84, 691,340.76 and 145,375.34 is: 218,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,893.84 : 691,340.76 = 145,375.34 : x
  2. Step 2: Convert to fraction form
    460,893.84/691,340.76 = 145,375.34/x
  3. Step 3: Cross multiply
    460,893.84x = 691,340.76 × 145,375.34
  4. Step 4: Simplify right side
    460,893.84x = 100,503,898,040.86
  5. Step 5: Solve for x
    x = 100,503,898,040.86/460,893.84
  6. Step 6: Final answer
    x = 218,063.01

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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.