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Finding the Fourth Proportional to 458,692.48, 688,300.80 and 178,173.28

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Solution

The fourth proportional to 458,692.48, 688,300.80 and 178,173.28 is: 267,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,692.48 : 688,300.80 = 178,173.28 : x
  2. Step 2: Convert to fraction form
    458,692.48/688,300.80 = 178,173.28/x
  3. Step 3: Cross multiply
    458,692.48x = 688,300.80 × 178,173.28
  4. Step 4: Simplify right side
    458,692.48x = 122,636,811,162.62
  5. Step 5: Solve for x
    x = 122,636,811,162.62/458,692.48
  6. Step 6: Final answer
    x = 267,361.72

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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.