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Finding the Fourth Proportional to 306,032.40, 458,141.40 and 227,494.80

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Solution

The fourth proportional to 306,032.40, 458,141.40 and 227,494.80 is: 340,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.40 : 458,141.40 = 227,494.80 : x
  2. Step 2: Convert to fraction form
    306,032.40/458,141.40 = 227,494.80/x
  3. Step 3: Cross multiply
    306,032.40x = 458,141.40 × 227,494.80
  4. Step 4: Simplify right side
    306,032.40x = 104,224,786,164.72
  5. Step 5: Solve for x
    x = 104,224,786,164.72/306,032.40
  6. Step 6: Final answer
    x = 340,567.82

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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.