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Finding the Fourth Proportional to 659,049.60, 987,796.80 and 492,643.20

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Solution

The fourth proportional to 659,049.60, 987,796.80 and 492,643.20 is: 738,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,049.60 : 987,796.80 = 492,643.20 : x
  2. Step 2: Convert to fraction form
    659,049.60/987,796.80 = 492,643.20/x
  3. Step 3: Cross multiply
    659,049.60x = 987,796.80 × 492,643.20
  4. Step 4: Simplify right side
    659,049.60x = 486,631,376,501.76
  5. Step 5: Solve for x
    x = 486,631,376,501.76/659,049.60
  6. Step 6: Final answer
    x = 738,383.54

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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.