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Finding the Fourth Proportional to 414,607.80, 572,144.94 and 233,323.32

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Solution

The fourth proportional to 414,607.80, 572,144.94 and 233,323.32 is: 321,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,607.80 : 572,144.94 = 233,323.32 : x
  2. Step 2: Convert to fraction form
    414,607.80/572,144.94 = 233,323.32/x
  3. Step 3: Cross multiply
    414,607.80x = 572,144.94 × 233,323.32
  4. Step 4: Simplify right side
    414,607.80x = 133,494,756,922.00
  5. Step 5: Solve for x
    x = 133,494,756,922.00/414,607.80
  6. Step 6: Final answer
    x = 321,978.40

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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.