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Finding the Fourth Proportional to 458,588.24, 688,144.80 and 178,069.04

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Solution

The fourth proportional to 458,588.24, 688,144.80 and 178,069.04 is: 267,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,588.24 : 688,144.80 = 178,069.04 : x
  2. Step 2: Convert to fraction form
    458,588.24/688,144.80 = 178,069.04/x
  3. Step 3: Cross multiply
    458,588.24x = 688,144.80 × 178,069.04
  4. Step 4: Simplify right side
    458,588.24x = 122,537,283,916.99
  5. Step 5: Solve for x
    x = 122,537,283,916.99/458,588.24
  6. Step 6: Final answer
    x = 267,205.47

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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.