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Finding the Fourth Proportional to 277,542.44, 416,332.20 and 97,606.28

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Solution

The fourth proportional to 277,542.44, 416,332.20 and 97,606.28 is: 146,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542.44 : 416,332.20 = 97,606.28 : x
  2. Step 2: Convert to fraction form
    277,542.44/416,332.20 = 97,606.28/x
  3. Step 3: Cross multiply
    277,542.44x = 416,332.20 × 97,606.28
  4. Step 4: Simplify right side
    277,542.44x = 40,636,637,286.22
  5. Step 5: Solve for x
    x = 40,636,637,286.22/277,542.44
  6. Step 6: Final answer
    x = 146,415.94

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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.