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Finding the Fourth Proportional to 463,436.97, 695,167.62 and 147,893.58

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Solution

The fourth proportional to 463,436.97, 695,167.62 and 147,893.58 is: 221,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,436.97 : 695,167.62 = 147,893.58 : x
  2. Step 2: Convert to fraction form
    463,436.97/695,167.62 = 147,893.58/x
  3. Step 3: Cross multiply
    463,436.97x = 695,167.62 × 147,893.58
  4. Step 4: Simplify right side
    463,436.97x = 102,810,828,021.88
  5. Step 5: Solve for x
    x = 102,810,828,021.88/463,436.97
  6. Step 6: Final answer
    x = 221,844.25

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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.