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Finding the Fourth Proportional to 421,644.96, 632,511.84 and 137,357.76

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Solution

The fourth proportional to 421,644.96, 632,511.84 and 137,357.76 is: 206,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,644.96 : 632,511.84 = 137,357.76 : x
  2. Step 2: Convert to fraction form
    421,644.96/632,511.84 = 137,357.76/x
  3. Step 3: Cross multiply
    421,644.96x = 632,511.84 × 137,357.76
  4. Step 4: Simplify right side
    421,644.96x = 86,880,409,515.88
  5. Step 5: Solve for x
    x = 86,880,409,515.88/421,644.96
  6. Step 6: Final answer
    x = 206,051.10

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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.