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Finding the Fourth Proportional to 523,825.56, 785,796.30 and 186,944.76

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Solution

The fourth proportional to 523,825.56, 785,796.30 and 186,944.76 is: 280,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,825.56 : 785,796.30 = 186,944.76 : x
  2. Step 2: Convert to fraction form
    523,825.56/785,796.30 = 186,944.76/x
  3. Step 3: Cross multiply
    523,825.56x = 785,796.30 × 186,944.76
  4. Step 4: Simplify right side
    523,825.56x = 146,900,500,712.39
  5. Step 5: Solve for x
    x = 146,900,500,712.39/523,825.56
  6. Step 6: Final answer
    x = 280,437.82

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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.