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Finding the Fourth Proportional to 365,422.80, 547,696.80 and 187,838.40

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Solution

The fourth proportional to 365,422.80, 547,696.80 and 187,838.40 is: 281,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,422.80 : 547,696.80 = 187,838.40 : x
  2. Step 2: Convert to fraction form
    365,422.80/547,696.80 = 187,838.40/x
  3. Step 3: Cross multiply
    365,422.80x = 547,696.80 × 187,838.40
  4. Step 4: Simplify right side
    365,422.80x = 102,878,490,597.12
  5. Step 5: Solve for x
    x = 102,878,490,597.12/365,422.80
  6. Step 6: Final answer
    x = 281,532.76

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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.