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Finding the Fourth Proportional to 256,807.20, 385,671.60 and 186,765.60

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Solution

The fourth proportional to 256,807.20, 385,671.60 and 186,765.60 is: 280,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,807.20 : 385,671.60 = 186,765.60 : x
  2. Step 2: Convert to fraction form
    256,807.20/385,671.60 = 186,765.60/x
  3. Step 3: Cross multiply
    256,807.20x = 385,671.60 × 186,765.60
  4. Step 4: Simplify right side
    256,807.20x = 72,030,187,776.96
  5. Step 5: Solve for x
    x = 72,030,187,776.96/256,807.20
  6. Step 6: Final answer
    x = 280,483.52

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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.