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Finding the Fourth Proportional to 379,922.40, 569,883.60 and 158,277.60

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Solution

The fourth proportional to 379,922.40, 569,883.60 and 158,277.60 is: 237,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,922.40 : 569,883.60 = 158,277.60 : x
  2. Step 2: Convert to fraction form
    379,922.40/569,883.60 = 158,277.60/x
  3. Step 3: Cross multiply
    379,922.40x = 569,883.60 × 158,277.60
  4. Step 4: Simplify right side
    379,922.40x = 90,199,808,487.36
  5. Step 5: Solve for x
    x = 90,199,808,487.36/379,922.40
  6. Step 6: Final answer
    x = 237,416.40

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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.