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Finding the Fourth Proportional to 284,418.72, 392,573.52 and 176,927.76

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Solution

The fourth proportional to 284,418.72, 392,573.52 and 176,927.76 is: 244,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418.72 : 392,573.52 = 176,927.76 : x
  2. Step 2: Convert to fraction form
    284,418.72/392,573.52 = 176,927.76/x
  3. Step 3: Cross multiply
    284,418.72x = 392,573.52 × 176,927.76
  4. Step 4: Simplify right side
    284,418.72x = 69,457,153,528.92
  5. Step 5: Solve for x
    x = 69,457,153,528.92/284,418.72
  6. Step 6: Final answer
    x = 244,207.39

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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.