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Finding the Fourth Proportional to 284,587.36, 426,942.60 and 151,448.12

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Solution

The fourth proportional to 284,587.36, 426,942.60 and 151,448.12 is: 227,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,587.36 : 426,942.60 = 151,448.12 : x
  2. Step 2: Convert to fraction form
    284,587.36/426,942.60 = 151,448.12/x
  3. Step 3: Cross multiply
    284,587.36x = 426,942.60 × 151,448.12
  4. Step 4: Simplify right side
    284,587.36x = 64,659,654,117.91
  5. Step 5: Solve for x
    x = 64,659,654,117.91/284,587.36
  6. Step 6: Final answer
    x = 227,204.94

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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.