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Finding the Fourth Proportional to 434,173.84, 651,408.58 and 274,063.57

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Solution

The fourth proportional to 434,173.84, 651,408.58 and 274,063.57 is: 411,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,173.84 : 651,408.58 = 274,063.57 : x
  2. Step 2: Convert to fraction form
    434,173.84/651,408.58 = 274,063.57/x
  3. Step 3: Cross multiply
    434,173.84x = 651,408.58 × 274,063.57
  4. Step 4: Simplify right side
    434,173.84x = 178,527,359,677.49
  5. Step 5: Solve for x
    x = 178,527,359,677.49/434,173.84
  6. Step 6: Final answer
    x = 411,188.66

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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.