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Finding the Fourth Proportional to 362,200.86, 543,869.94 and 306,767.70

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Solution

The fourth proportional to 362,200.86, 543,869.94 and 306,767.70 is: 460,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,200.86 : 543,869.94 = 306,767.70 : x
  2. Step 2: Convert to fraction form
    362,200.86/543,869.94 = 306,767.70/x
  3. Step 3: Cross multiply
    362,200.86x = 543,869.94 × 306,767.70
  4. Step 4: Simplify right side
    362,200.86x = 166,841,730,592.94
  5. Step 5: Solve for x
    x = 166,841,730,592.94/362,200.86
  6. Step 6: Final answer
    x = 460,633.17

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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.