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Finding the Fourth Proportional to 284,804.37, 427,271.36 and 151,614.45

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Solution

The fourth proportional to 284,804.37, 427,271.36 and 151,614.45 is: 227,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,804.37 : 427,271.36 = 151,614.45 : x
  2. Step 2: Convert to fraction form
    284,804.37/427,271.36 = 151,614.45/x
  3. Step 3: Cross multiply
    284,804.37x = 427,271.36 × 151,614.45
  4. Step 4: Simplify right side
    284,804.37x = 64,780,511,489.08
  5. Step 5: Solve for x
    x = 64,780,511,489.08/284,804.37
  6. Step 6: Final answer
    x = 227,456.17

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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.