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Finding the Fourth Proportional to 458,861.33, 633,051.98 and 338,289.29

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Solution

The fourth proportional to 458,861.33, 633,051.98 and 338,289.29 is: 466,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,861.33 : 633,051.98 = 338,289.29 : x
  2. Step 2: Convert to fraction form
    458,861.33/633,051.98 = 338,289.29/x
  3. Step 3: Cross multiply
    458,861.33x = 633,051.98 × 338,289.29
  4. Step 4: Simplify right side
    458,861.33x = 214,154,699,990.59
  5. Step 5: Solve for x
    x = 214,154,699,990.59/458,861.33
  6. Step 6: Final answer
    x = 466,708.97

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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.