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Finding the Fourth Proportional to 357,416.72, 493,324.32 and 221,369.12

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Solution

The fourth proportional to 357,416.72, 493,324.32 and 221,369.12 is: 305,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,416.72 : 493,324.32 = 221,369.12 : x
  2. Step 2: Convert to fraction form
    357,416.72/493,324.32 = 221,369.12/x
  3. Step 3: Cross multiply
    357,416.72x = 493,324.32 × 221,369.12
  4. Step 4: Simplify right side
    357,416.72x = 109,206,768,126.38
  5. Step 5: Solve for x
    x = 109,206,768,126.38/357,416.72
  6. Step 6: Final answer
    x = 305,544.66

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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.