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Finding the Fourth Proportional to 264,709.44, 365,384.16 and 169,472.64

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Solution

The fourth proportional to 264,709.44, 365,384.16 and 169,472.64 is: 233,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,709.44 : 365,384.16 = 169,472.64 : x
  2. Step 2: Convert to fraction form
    264,709.44/365,384.16 = 169,472.64/x
  3. Step 3: Cross multiply
    264,709.44x = 365,384.16 × 169,472.64
  4. Step 4: Simplify right side
    264,709.44x = 61,922,618,209.38
  5. Step 5: Solve for x
    x = 61,922,618,209.38/264,709.44
  6. Step 6: Final answer
    x = 233,926.75

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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.