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Finding the Fourth Proportional to 458,916.97, 688,271.50 and 174,506.13

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Solution

The fourth proportional to 458,916.97, 688,271.50 and 174,506.13 is: 261,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,916.97 : 688,271.50 = 174,506.13 : x
  2. Step 2: Convert to fraction form
    458,916.97/688,271.50 = 174,506.13/x
  3. Step 3: Cross multiply
    458,916.97x = 688,271.50 × 174,506.13
  4. Step 4: Simplify right side
    458,916.97x = 120,107,595,854.30
  5. Step 5: Solve for x
    x = 120,107,595,854.30/458,916.97
  6. Step 6: Final answer
    x = 261,719.67

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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.