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Finding the Fourth Proportional to 284,668.32, 427,459.93 and 188,753.68

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Solution

The fourth proportional to 284,668.32, 427,459.93 and 188,753.68 is: 283,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,668.32 : 427,459.93 = 188,753.68 : x
  2. Step 2: Convert to fraction form
    284,668.32/427,459.93 = 188,753.68/x
  3. Step 3: Cross multiply
    284,668.32x = 427,459.93 × 188,753.68
  4. Step 4: Simplify right side
    284,668.32x = 80,684,634,902.48
  5. Step 5: Solve for x
    x = 80,684,634,902.48/284,668.32
  6. Step 6: Final answer
    x = 283,433.84

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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.