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Finding the Fourth Proportional to 403,543.40, 605,084.70 and 166,605.80

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Solution

The fourth proportional to 403,543.40, 605,084.70 and 166,605.80 is: 249,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,543.40 : 605,084.70 = 166,605.80 : x
  2. Step 2: Convert to fraction form
    403,543.40/605,084.70 = 166,605.80/x
  3. Step 3: Cross multiply
    403,543.40x = 605,084.70 × 166,605.80
  4. Step 4: Simplify right side
    403,543.40x = 100,810,620,511.26
  5. Step 5: Solve for x
    x = 100,810,620,511.26/403,543.40
  6. Step 6: Final answer
    x = 249,813.58

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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.