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Finding the Fourth Proportional to 407,368.56, 611,051.76 and 229,794.96

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Solution

The fourth proportional to 407,368.56, 611,051.76 and 229,794.96 is: 344,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,368.56 : 611,051.76 = 229,794.96 : x
  2. Step 2: Convert to fraction form
    407,368.56/611,051.76 = 229,794.96/x
  3. Step 3: Cross multiply
    407,368.56x = 611,051.76 × 229,794.96
  4. Step 4: Simplify right side
    407,368.56x = 140,416,614,747.13
  5. Step 5: Solve for x
    x = 140,416,614,747.13/407,368.56
  6. Step 6: Final answer
    x = 344,691.83

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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.