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Finding the Fourth Proportional to 834,407.50, 1,151,504.99 and 471,885.57

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Solution

The fourth proportional to 834,407.50, 1,151,504.99 and 471,885.57 is: 651,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,407.50 : 1,151,504.99 = 471,885.57 : x
  2. Step 2: Convert to fraction form
    834,407.50/1,151,504.99 = 471,885.57/x
  3. Step 3: Cross multiply
    834,407.50x = 1,151,504.99 × 471,885.57
  4. Step 4: Simplify right side
    834,407.50x = 543,378,580,447.04
  5. Step 5: Solve for x
    x = 543,378,580,447.04/834,407.50
  6. Step 6: Final answer
    x = 651,214.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.