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Finding the Fourth Proportional to 335,474.35, 503,285.45 and 145,964.47

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Solution

The fourth proportional to 335,474.35, 503,285.45 and 145,964.47 is: 218,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,474.35 : 503,285.45 = 145,964.47 : x
  2. Step 2: Convert to fraction form
    335,474.35/503,285.45 = 145,964.47/x
  3. Step 3: Cross multiply
    335,474.35x = 503,285.45 × 145,964.47
  4. Step 4: Simplify right side
    335,474.35x = 73,461,793,967.96
  5. Step 5: Solve for x
    x = 73,461,793,967.96/335,474.35
  6. Step 6: Final answer
    x = 218,978.87

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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.