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Finding the Fourth Proportional to 338,516.46, 507,672.46 and 101,796.30

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Solution

The fourth proportional to 338,516.46, 507,672.46 and 101,796.30 is: 152,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,516.46 : 507,672.46 = 101,796.30 : x
  2. Step 2: Convert to fraction form
    338,516.46/507,672.46 = 101,796.30/x
  3. Step 3: Cross multiply
    338,516.46x = 507,672.46 × 101,796.30
  4. Step 4: Simplify right side
    338,516.46x = 51,679,178,039.90
  5. Step 5: Solve for x
    x = 51,679,178,039.90/338,516.46
  6. Step 6: Final answer
    x = 152,663.71

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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.