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Finding the Fourth Proportional to 473,174.25, 709,757.40 and 118,185.87

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Solution

The fourth proportional to 473,174.25, 709,757.40 and 118,185.87 is: 177,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,174.25 : 709,757.40 = 118,185.87 : x
  2. Step 2: Convert to fraction form
    473,174.25/709,757.40 = 118,185.87/x
  3. Step 3: Cross multiply
    473,174.25x = 709,757.40 × 118,185.87
  4. Step 4: Simplify right side
    473,174.25x = 83,883,295,807.94
  5. Step 5: Solve for x
    x = 83,883,295,807.94/473,174.25
  6. Step 6: Final answer
    x = 177,277.81

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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.