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Finding the Fourth Proportional to 463,361.96, 695,100.18 and 163,780.76

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Solution

The fourth proportional to 463,361.96, 695,100.18 and 163,780.76 is: 245,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,361.96 : 695,100.18 = 163,780.76 : x
  2. Step 2: Convert to fraction form
    463,361.96/695,100.18 = 163,780.76/x
  3. Step 3: Cross multiply
    463,361.96x = 695,100.18 × 163,780.76
  4. Step 4: Simplify right side
    463,361.96x = 113,844,032,281.04
  5. Step 5: Solve for x
    x = 113,844,032,281.04/463,361.96
  6. Step 6: Final answer
    x = 245,691.37

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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.