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Finding the Fourth Proportional to 319,692.60, 478,847.70 and 284,671.80

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Solution

The fourth proportional to 319,692.60, 478,847.70 and 284,671.80 is: 426,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,692.60 : 478,847.70 = 284,671.80 : x
  2. Step 2: Convert to fraction form
    319,692.60/478,847.70 = 284,671.80/x
  3. Step 3: Cross multiply
    319,692.60x = 478,847.70 × 284,671.80
  4. Step 4: Simplify right side
    319,692.60x = 136,314,436,684.86
  5. Step 5: Solve for x
    x = 136,314,436,684.86/319,692.60
  6. Step 6: Final answer
    x = 426,392.22

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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.