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Finding the Fourth Proportional to 458,942.70, 688,146.75 and 178,131.90

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Solution

The fourth proportional to 458,942.70, 688,146.75 and 178,131.90 is: 267,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,942.70 : 688,146.75 = 178,131.90 : x
  2. Step 2: Convert to fraction form
    458,942.70/688,146.75 = 178,131.90/x
  3. Step 3: Cross multiply
    458,942.70x = 688,146.75 × 178,131.90
  4. Step 4: Simplify right side
    458,942.70x = 122,580,888,056.33
  5. Step 5: Solve for x
    x = 122,580,888,056.33/458,942.70
  6. Step 6: Final answer
    x = 267,094.10

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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.