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Finding the Fourth Proportional to 523,723.92, 722,806.44 and 319,732.08

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Solution

The fourth proportional to 523,723.92, 722,806.44 and 319,732.08 is: 441,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,723.92 : 722,806.44 = 319,732.08 : x
  2. Step 2: Convert to fraction form
    523,723.92/722,806.44 = 319,732.08/x
  3. Step 3: Cross multiply
    523,723.92x = 722,806.44 × 319,732.08
  4. Step 4: Simplify right side
    523,723.92x = 231,104,406,498.60
  5. Step 5: Solve for x
    x = 231,104,406,498.60/523,723.92
  6. Step 6: Final answer
    x = 441,271.44

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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.