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Finding the Fourth Proportional to 496,009.19, 744,052.20 and 154,409.69

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Solution

The fourth proportional to 496,009.19, 744,052.20 and 154,409.69 is: 231,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,009.19 : 744,052.20 = 154,409.69 : x
  2. Step 2: Convert to fraction form
    496,009.19/744,052.20 = 154,409.69/x
  3. Step 3: Cross multiply
    496,009.19x = 744,052.20 × 154,409.69
  4. Step 4: Simplify right side
    496,009.19x = 114,888,869,545.82
  5. Step 5: Solve for x
    x = 114,888,869,545.82/496,009.19
  6. Step 6: Final answer
    x = 231,626.49

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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.