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Finding the Fourth Proportional to 420,401.94, 580,167 and 229,427.64

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Solution

The fourth proportional to 420,401.94, 580,167 and 229,427.64 is: 316,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,401.94 : 580,167 = 229,427.64 : x
  2. Step 2: Convert to fraction form
    420,401.94/580,167 = 229,427.64/x
  3. Step 3: Cross multiply
    420,401.94x = 580,167 × 229,427.64
  4. Step 4: Simplify right side
    420,401.94x = 133,106,345,615.88
  5. Step 5: Solve for x
    x = 133,106,345,615.88/420,401.94
  6. Step 6: Final answer
    x = 316,616.87

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1.5x scale

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.