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Finding the Fourth Proportional to 385,977.60, 578,620.80 and 252,921.60

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Solution

The fourth proportional to 385,977.60, 578,620.80 and 252,921.60 is: 379,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,977.60 : 578,620.80 = 252,921.60 : x
  2. Step 2: Convert to fraction form
    385,977.60/578,620.80 = 252,921.60/x
  3. Step 3: Cross multiply
    385,977.60x = 578,620.80 × 252,921.60
  4. Step 4: Simplify right side
    385,977.60x = 146,345,698,529.28
  5. Step 5: Solve for x
    x = 146,345,698,529.28/385,977.60
  6. Step 6: Final answer
    x = 379,155.94

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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.