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Finding the Fourth Proportional to 426,846.52, 589,029.32 and 235,855.80

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Solution

The fourth proportional to 426,846.52, 589,029.32 and 235,855.80 is: 325,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,846.52 : 589,029.32 = 235,855.80 : x
  2. Step 2: Convert to fraction form
    426,846.52/589,029.32 = 235,855.80/x
  3. Step 3: Cross multiply
    426,846.52x = 589,029.32 × 235,855.80
  4. Step 4: Simplify right side
    426,846.52x = 138,925,981,492.06
  5. Step 5: Solve for x
    x = 138,925,981,492.06/426,846.52
  6. Step 6: Final answer
    x = 325,470.57

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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.