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Finding the Fourth Proportional to 475,068.64, 655,346.25 and 293,722.60

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Solution

The fourth proportional to 475,068.64, 655,346.25 and 293,722.60 is: 405,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,068.64 : 655,346.25 = 293,722.60 : x
  2. Step 2: Convert to fraction form
    475,068.64/655,346.25 = 293,722.60/x
  3. Step 3: Cross multiply
    475,068.64x = 655,346.25 × 293,722.60
  4. Step 4: Simplify right side
    475,068.64x = 192,490,004,450.25
  5. Step 5: Solve for x
    x = 192,490,004,450.25/475,068.64
  6. Step 6: Final answer
    x = 405,183.56

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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.