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Finding the Fourth Proportional to 447,423.88, 617,470.50 and 256,469.16

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Solution

The fourth proportional to 447,423.88, 617,470.50 and 256,469.16 is: 353,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,423.88 : 617,470.50 = 256,469.16 : x
  2. Step 2: Convert to fraction form
    447,423.88/617,470.50 = 256,469.16/x
  3. Step 3: Cross multiply
    447,423.88x = 617,470.50 × 256,469.16
  4. Step 4: Simplify right side
    447,423.88x = 158,362,140,459.78
  5. Step 5: Solve for x
    x = 158,362,140,459.78/447,423.88
  6. Step 6: Final answer
    x = 353,942.08

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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.