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Finding the Fourth Proportional to 304,728.14, 420,385.26 and 197,332.77

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Solution

The fourth proportional to 304,728.14, 420,385.26 and 197,332.77 is: 272,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,728.14 : 420,385.26 = 197,332.77 : x
  2. Step 2: Convert to fraction form
    304,728.14/420,385.26 = 197,332.77/x
  3. Step 3: Cross multiply
    304,728.14x = 420,385.26 × 197,332.77
  4. Step 4: Simplify right side
    304,728.14x = 82,955,786,836.31
  5. Step 5: Solve for x
    x = 82,955,786,836.31/304,728.14
  6. Step 6: Final answer
    x = 272,228.84

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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.