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Finding the Fourth Proportional to 397,535.08, 596,579.10 and 256,945

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Solution

The fourth proportional to 397,535.08, 596,579.10 and 256,945 is: 385,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,535.08 : 596,579.10 = 256,945 : x
  2. Step 2: Convert to fraction form
    397,535.08/596,579.10 = 256,945/x
  3. Step 3: Cross multiply
    397,535.08x = 596,579.10 × 256,945
  4. Step 4: Simplify right side
    397,535.08x = 153,288,016,849.50
  5. Step 5: Solve for x
    x = 153,288,016,849.50/397,535.08
  6. Step 6: Final answer
    x = 385,596.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.