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Finding the Fourth Proportional to 275,441, 413,336.28 and 117,670.64

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Solution

The fourth proportional to 275,441, 413,336.28 and 117,670.64 is: 176,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,441 : 413,336.28 = 117,670.64 : x
  2. Step 2: Convert to fraction form
    275,441/413,336.28 = 117,670.64/x
  3. Step 3: Cross multiply
    275,441x = 413,336.28 × 117,670.64
  4. Step 4: Simplify right side
    275,441x = 48,637,544,602.82
  5. Step 5: Solve for x
    x = 48,637,544,602.82/275,441
  6. Step 6: Final answer
    x = 176,580.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.