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Finding the Fourth Proportional to 434,211.60, 651,900.60 and 277,136.40

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Solution

The fourth proportional to 434,211.60, 651,900.60 and 277,136.40 is: 416,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,211.60 : 651,900.60 = 277,136.40 : x
  2. Step 2: Convert to fraction form
    434,211.60/651,900.60 = 277,136.40/x
  3. Step 3: Cross multiply
    434,211.60x = 651,900.60 × 277,136.40
  4. Step 4: Simplify right side
    434,211.60x = 180,665,385,441.84
  5. Step 5: Solve for x
    x = 180,665,385,441.84/434,211.60
  6. Step 6: Final answer
    x = 416,076.83

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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.