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Finding the Fourth Proportional to 458,529.60, 688,045.44 and 178,057.92

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Solution

The fourth proportional to 458,529.60, 688,045.44 and 178,057.92 is: 267,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,529.60 : 688,045.44 = 178,057.92 : x
  2. Step 2: Convert to fraction form
    458,529.60/688,045.44 = 178,057.92/x
  3. Step 3: Cross multiply
    458,529.60x = 688,045.44 × 178,057.92
  4. Step 4: Simplify right side
    458,529.60x = 122,511,939,911.89
  5. Step 5: Solve for x
    x = 122,511,939,911.89/458,529.60
  6. Step 6: Final answer
    x = 267,184.36

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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.