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Finding the Fourth Proportional to 461,675.09, 692,756.47 and 327,605.50

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Solution

The fourth proportional to 461,675.09, 692,756.47 and 327,605.50 is: 491,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,675.09 : 692,756.47 = 327,605.50 : x
  2. Step 2: Convert to fraction form
    461,675.09/692,756.47 = 327,605.50/x
  3. Step 3: Cross multiply
    461,675.09x = 692,756.47 × 327,605.50
  4. Step 4: Simplify right side
    461,675.09x = 226,950,830,955.24
  5. Step 5: Solve for x
    x = 226,950,830,955.24/461,675.09
  6. Step 6: Final answer
    x = 491,581.28

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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.