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Finding the Fourth Proportional to 540,664.38, 746,084.79 and 298,927.98

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Solution

The fourth proportional to 540,664.38, 746,084.79 and 298,927.98 is: 412,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,664.38 : 746,084.79 = 298,927.98 : x
  2. Step 2: Convert to fraction form
    540,664.38/746,084.79 = 298,927.98/x
  3. Step 3: Cross multiply
    540,664.38x = 746,084.79 × 298,927.98
  4. Step 4: Simplify right side
    540,664.38x = 223,025,619,183.42
  5. Step 5: Solve for x
    x = 223,025,619,183.42/540,664.38
  6. Step 6: Final answer
    x = 412,502.89

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Why These Related Problems?

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