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Finding the Fourth Proportional to 328,803.30, 493,464.24 and 168,872.76

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Solution

The fourth proportional to 328,803.30, 493,464.24 and 168,872.76 is: 253,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,803.30 : 493,464.24 = 168,872.76 : x
  2. Step 2: Convert to fraction form
    328,803.30/493,464.24 = 168,872.76/x
  3. Step 3: Cross multiply
    328,803.30x = 493,464.24 × 168,872.76
  4. Step 4: Simplify right side
    328,803.30x = 83,332,668,170.10
  5. Step 5: Solve for x
    x = 83,332,668,170.10/328,803.30
  6. Step 6: Final answer
    x = 253,442.31

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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.