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Finding the Fourth Proportional to 362,852.10, 543,824.55 and 185,429.70

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Solution

The fourth proportional to 362,852.10, 543,824.55 and 185,429.70 is: 277,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,852.10 : 543,824.55 = 185,429.70 : x
  2. Step 2: Convert to fraction form
    362,852.10/543,824.55 = 185,429.70/x
  3. Step 3: Cross multiply
    362,852.10x = 543,824.55 × 185,429.70
  4. Step 4: Simplify right side
    362,852.10x = 100,841,223,159.14
  5. Step 5: Solve for x
    x = 100,841,223,159.14/362,852.10
  6. Step 6: Final answer
    x = 277,912.75

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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.