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Finding the Fourth Proportional to 386,141.60, 578,751.60 and 199,056.80

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Solution

The fourth proportional to 386,141.60, 578,751.60 and 199,056.80 is: 298,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,141.60 : 578,751.60 = 199,056.80 : x
  2. Step 2: Convert to fraction form
    386,141.60/578,751.60 = 199,056.80/x
  3. Step 3: Cross multiply
    386,141.60x = 578,751.60 × 199,056.80
  4. Step 4: Simplify right side
    386,141.60x = 115,204,441,490.88
  5. Step 5: Solve for x
    x = 115,204,441,490.88/386,141.60
  6. Step 6: Final answer
    x = 298,347.66

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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.