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Finding the Fourth Proportional to 256,824.20, 385,697.10 and 186,782.60

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Solution

The fourth proportional to 256,824.20, 385,697.10 and 186,782.60 is: 280,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824.20 : 385,697.10 = 186,782.60 : x
  2. Step 2: Convert to fraction form
    256,824.20/385,697.10 = 186,782.60/x
  3. Step 3: Cross multiply
    256,824.20x = 385,697.10 × 186,782.60
  4. Step 4: Simplify right side
    256,824.20x = 72,041,507,150.46
  5. Step 5: Solve for x
    x = 72,041,507,150.46/256,824.20
  6. Step 6: Final answer
    x = 280,509.03

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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.