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Finding the Fourth Proportional to 498,860.61, 748,096.79 and 161,819.76

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Solution

The fourth proportional to 498,860.61, 748,096.79 and 161,819.76 is: 242,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,860.61 : 748,096.79 = 161,819.76 : x
  2. Step 2: Convert to fraction form
    498,860.61/748,096.79 = 161,819.76/x
  3. Step 3: Cross multiply
    498,860.61x = 748,096.79 × 161,819.76
  4. Step 4: Simplify right side
    498,860.61x = 121,056,843,014.57
  5. Step 5: Solve for x
    x = 121,056,843,014.57/498,860.61
  6. Step 6: Final answer
    x = 242,666.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.