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Finding the Fourth Proportional to 458,830.48, 633,287.34 and 254,951.49

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Solution

The fourth proportional to 458,830.48, 633,287.34 and 254,951.49 is: 351,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,830.48 : 633,287.34 = 254,951.49 : x
  2. Step 2: Convert to fraction form
    458,830.48/633,287.34 = 254,951.49/x
  3. Step 3: Cross multiply
    458,830.48x = 633,287.34 × 254,951.49
  4. Step 4: Simplify right side
    458,830.48x = 161,457,550,931.14
  5. Step 5: Solve for x
    x = 161,457,550,931.14/458,830.48
  6. Step 6: Final answer
    x = 351,889.33

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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.