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Finding the Fourth Proportional to 540,715.65, 746,172.82 and 298,989.96

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Solution

The fourth proportional to 540,715.65, 746,172.82 and 298,989.96 is: 412,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,715.65 : 746,172.82 = 298,989.96 : x
  2. Step 2: Convert to fraction form
    540,715.65/746,172.82 = 298,989.96/x
  3. Step 3: Cross multiply
    540,715.65x = 746,172.82 × 298,989.96
  4. Step 4: Simplify right side
    540,715.65x = 223,098,176,379.07
  5. Step 5: Solve for x
    x = 223,098,176,379.07/540,715.65
  6. Step 6: Final answer
    x = 412,597.97

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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.