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Finding the Fourth Proportional to 298,810.62, 412,358.66 and 164,674.62

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Solution

The fourth proportional to 298,810.62, 412,358.66 and 164,674.62 is: 227,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,810.62 : 412,358.66 = 164,674.62 : x
  2. Step 2: Convert to fraction form
    298,810.62/412,358.66 = 164,674.62/x
  3. Step 3: Cross multiply
    298,810.62x = 412,358.66 × 164,674.62
  4. Step 4: Simplify right side
    298,810.62x = 67,905,005,639.21
  5. Step 5: Solve for x
    x = 67,905,005,639.21/298,810.62
  6. Step 6: Final answer
    x = 227,250.98

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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.