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Finding the Fourth Proportional to 284,613.55, 427,412.40 and 151,753.30

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Solution

The fourth proportional to 284,613.55, 427,412.40 and 151,753.30 is: 227,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,613.55 : 427,412.40 = 151,753.30 : x
  2. Step 2: Convert to fraction form
    284,613.55/427,412.40 = 151,753.30/x
  3. Step 3: Cross multiply
    284,613.55x = 427,412.40 × 151,753.30
  4. Step 4: Simplify right side
    284,613.55x = 64,861,242,160.92
  5. Step 5: Solve for x
    x = 64,861,242,160.92/284,613.55
  6. Step 6: Final answer
    x = 227,892.32

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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.