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Finding the Fourth Proportional to 363,437.46, 501,543.65 and 202,289.03

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Solution

The fourth proportional to 363,437.46, 501,543.65 and 202,289.03 is: 279,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,437.46 : 501,543.65 = 202,289.03 : x
  2. Step 2: Convert to fraction form
    363,437.46/501,543.65 = 202,289.03/x
  3. Step 3: Cross multiply
    363,437.46x = 501,543.65 × 202,289.03
  4. Step 4: Simplify right side
    363,437.46x = 101,456,774,942.00
  5. Step 5: Solve for x
    x = 101,456,774,942.00/363,437.46
  6. Step 6: Final answer
    x = 279,158.83

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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.