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Finding the Fourth Proportional to 284,791.56, 392,996.66 and 157,458.75

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Solution

The fourth proportional to 284,791.56, 392,996.66 and 157,458.75 is: 217,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,791.56 : 392,996.66 = 157,458.75 : x
  2. Step 2: Convert to fraction form
    284,791.56/392,996.66 = 157,458.75/x
  3. Step 3: Cross multiply
    284,791.56x = 392,996.66 × 157,458.75
  4. Step 4: Simplify right side
    284,791.56x = 61,880,762,050.48
  5. Step 5: Solve for x
    x = 61,880,762,050.48/284,791.56
  6. Step 6: Final answer
    x = 217,284.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.