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Finding the Fourth Proportional to 216,894.49, 324,775.82 and 174,543.23

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Solution

The fourth proportional to 216,894.49, 324,775.82 and 174,543.23 is: 261,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,894.49 : 324,775.82 = 174,543.23 : x
  2. Step 2: Convert to fraction form
    216,894.49/324,775.82 = 174,543.23/x
  3. Step 3: Cross multiply
    216,894.49x = 324,775.82 × 174,543.23
  4. Step 4: Simplify right side
    216,894.49x = 56,687,421,897.00
  5. Step 5: Solve for x
    x = 56,687,421,897.00/216,894.49
  6. Step 6: Final answer
    x = 261,359.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.