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Finding the Fourth Proportional to 408,022.88, 562,896.96 and 254,795.06

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Solution

The fourth proportional to 408,022.88, 562,896.96 and 254,795.06 is: 351,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.88 : 562,896.96 = 254,795.06 : x
  2. Step 2: Convert to fraction form
    408,022.88/562,896.96 = 254,795.06/x
  3. Step 3: Cross multiply
    408,022.88x = 562,896.96 × 254,795.06
  4. Step 4: Simplify right side
    408,022.88x = 143,423,364,697.02
  5. Step 5: Solve for x
    x = 143,423,364,697.02/408,022.88
  6. Step 6: Final answer
    x = 351,508.14

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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.