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Finding the Fourth Proportional to 328,043.72, 452,733.78 and 200,803.40

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Solution

The fourth proportional to 328,043.72, 452,733.78 and 200,803.40 is: 277,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,043.72 : 452,733.78 = 200,803.40 : x
  2. Step 2: Convert to fraction form
    328,043.72/452,733.78 = 200,803.40/x
  3. Step 3: Cross multiply
    328,043.72x = 452,733.78 × 200,803.40
  4. Step 4: Simplify right side
    328,043.72x = 90,910,482,318.85
  5. Step 5: Solve for x
    x = 90,910,482,318.85/328,043.72
  6. Step 6: Final answer
    x = 277,129.17

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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.