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Finding the Fourth Proportional to 463,361.58, 695,099.61 and 163,780.38

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Solution

The fourth proportional to 463,361.58, 695,099.61 and 163,780.38 is: 245,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,361.58 : 695,099.61 = 163,780.38 : x
  2. Step 2: Convert to fraction form
    463,361.58/695,099.61 = 163,780.38/x
  3. Step 3: Cross multiply
    463,361.58x = 695,099.61 × 163,780.38
  4. Step 4: Simplify right side
    463,361.58x = 113,843,678,263.65
  5. Step 5: Solve for x
    x = 113,843,678,263.65/463,361.58
  6. Step 6: Final answer
    x = 245,690.80

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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.