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Finding the Fourth Proportional to 284,195.92, 392,332.08 and 176,800.48

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Solution

The fourth proportional to 284,195.92, 392,332.08 and 176,800.48 is: 244,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,195.92 : 392,332.08 = 176,800.48 : x
  2. Step 2: Convert to fraction form
    284,195.92/392,332.08 = 176,800.48/x
  3. Step 3: Cross multiply
    284,195.92x = 392,332.08 × 176,800.48
  4. Step 4: Simplify right side
    284,195.92x = 69,364,500,063.40
  5. Step 5: Solve for x
    x = 69,364,500,063.40/284,195.92
  6. Step 6: Final answer
    x = 244,072.82

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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.