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Finding the Fourth Proportional to 309,126.72, 427,534.02 and 277,284

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Solution

The fourth proportional to 309,126.72, 427,534.02 and 277,284 is: 383,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,126.72 : 427,534.02 = 277,284 : x
  2. Step 2: Convert to fraction form
    309,126.72/427,534.02 = 277,284/x
  3. Step 3: Cross multiply
    309,126.72x = 427,534.02 × 277,284
  4. Step 4: Simplify right side
    309,126.72x = 118,548,343,201.68
  5. Step 5: Solve for x
    x = 118,548,343,201.68/309,126.72
  6. Step 6: Final answer
    x = 383,494.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.