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Finding the Fourth Proportional to 284,513.42, 426,768.50 and 116,032.88

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Solution

The fourth proportional to 284,513.42, 426,768.50 and 116,032.88 is: 174,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,513.42 : 426,768.50 = 116,032.88 : x
  2. Step 2: Convert to fraction form
    284,513.42/426,768.50 = 116,032.88/x
  3. Step 3: Cross multiply
    284,513.42x = 426,768.50 × 116,032.88
  4. Step 4: Simplify right side
    284,513.42x = 49,519,178,148.28
  5. Step 5: Solve for x
    x = 49,519,178,148.28/284,513.42
  6. Step 6: Final answer
    x = 174,048.66

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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.