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Finding the Fourth Proportional to 284,813.84, 427,477.56 and 151,804.88

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Solution

The fourth proportional to 284,813.84, 427,477.56 and 151,804.88 is: 227,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,813.84 : 427,477.56 = 151,804.88 : x
  2. Step 2: Convert to fraction form
    284,813.84/427,477.56 = 151,804.88/x
  3. Step 3: Cross multiply
    284,813.84x = 427,477.56 × 151,804.88
  4. Step 4: Simplify right side
    284,813.84x = 64,893,179,698.49
  5. Step 5: Solve for x
    x = 64,893,179,698.49/284,813.84
  6. Step 6: Final answer
    x = 227,844.19

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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.