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Finding the Fourth Proportional to 318,999.60, 478,227.60 and 141,409.80

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Solution

The fourth proportional to 318,999.60, 478,227.60 and 141,409.80 is: 211,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,999.60 : 478,227.60 = 141,409.80 : x
  2. Step 2: Convert to fraction form
    318,999.60/478,227.60 = 141,409.80/x
  3. Step 3: Cross multiply
    318,999.60x = 478,227.60 × 141,409.80
  4. Step 4: Simplify right side
    318,999.60x = 67,626,069,270.48
  5. Step 5: Solve for x
    x = 67,626,069,270.48/318,999.60
  6. Step 6: Final answer
    x = 211,994.21

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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.