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Finding the Fourth Proportional to 362,543.79, 543,935.64 and 194,026.56

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Solution

The fourth proportional to 362,543.79, 543,935.64 and 194,026.56 is: 291,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,543.79 : 543,935.64 = 194,026.56 : x
  2. Step 2: Convert to fraction form
    362,543.79/543,935.64 = 194,026.56/x
  3. Step 3: Cross multiply
    362,543.79x = 543,935.64 × 194,026.56
  4. Step 4: Simplify right side
    362,543.79x = 105,537,961,090.60
  5. Step 5: Solve for x
    x = 105,537,961,090.60/362,543.79
  6. Step 6: Final answer
    x = 291,104.04

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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.