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Finding the Fourth Proportional to 409,064.65, 564,558.73 and 234,698.69

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Solution

The fourth proportional to 409,064.65, 564,558.73 and 234,698.69 is: 323,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,064.65 : 564,558.73 = 234,698.69 : x
  2. Step 2: Convert to fraction form
    409,064.65/564,558.73 = 234,698.69/x
  3. Step 3: Cross multiply
    409,064.65x = 564,558.73 × 234,698.69
  4. Step 4: Simplify right side
    409,064.65x = 132,501,195,183.71
  5. Step 5: Solve for x
    x = 132,501,195,183.71/409,064.65
  6. Step 6: Final answer
    x = 323,912.60

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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.