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Finding the Fourth Proportional to 306,321.41, 458,541.60 and 277,453.01

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Solution

The fourth proportional to 306,321.41, 458,541.60 and 277,453.01 is: 415,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,321.41 : 458,541.60 = 277,453.01 : x
  2. Step 2: Convert to fraction form
    306,321.41/458,541.60 = 277,453.01/x
  3. Step 3: Cross multiply
    306,321.41x = 458,541.60 × 277,453.01
  4. Step 4: Simplify right side
    306,321.41x = 127,223,747,130.22
  5. Step 5: Solve for x
    x = 127,223,747,130.22/306,321.41
  6. Step 6: Final answer
    x = 415,327.64

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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.