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Finding the Fourth Proportional to 256,814.70, 385,222.05 and 162,336.30

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Solution

The fourth proportional to 256,814.70, 385,222.05 and 162,336.30 is: 243,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,814.70 : 385,222.05 = 162,336.30 : x
  2. Step 2: Convert to fraction form
    256,814.70/385,222.05 = 162,336.30/x
  3. Step 3: Cross multiply
    256,814.70x = 385,222.05 × 162,336.30
  4. Step 4: Simplify right side
    256,814.70x = 62,535,522,275.42
  5. Step 5: Solve for x
    x = 62,535,522,275.42/256,814.70
  6. Step 6: Final answer
    x = 243,504.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.