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Finding the Fourth Proportional to 383,957.47, 529,614.61 and 233,054.47

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Solution

The fourth proportional to 383,957.47, 529,614.61 and 233,054.47 is: 321,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,957.47 : 529,614.61 = 233,054.47 : x
  2. Step 2: Convert to fraction form
    383,957.47/529,614.61 = 233,054.47/x
  3. Step 3: Cross multiply
    383,957.47x = 529,614.61 × 233,054.47
  4. Step 4: Simplify right side
    383,957.47x = 123,429,052,237.81
  5. Step 5: Solve for x
    x = 123,429,052,237.81/383,957.47
  6. Step 6: Final answer
    x = 321,465.43

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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.