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Finding the Fourth Proportional to 447,417.09, 617,462.19 and 256,442.85

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Solution

The fourth proportional to 447,417.09, 617,462.19 and 256,442.85 is: 353,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,417.09 : 617,462.19 = 256,442.85 : x
  2. Step 2: Convert to fraction form
    447,417.09/617,462.19 = 256,442.85/x
  3. Step 3: Cross multiply
    447,417.09x = 617,462.19 × 256,442.85
  4. Step 4: Simplify right side
    447,417.09x = 158,343,763,770.84
  5. Step 5: Solve for x
    x = 158,343,763,770.84/447,417.09
  6. Step 6: Final answer
    x = 353,906.38

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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.