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Finding the Fourth Proportional to 414,955.75, 572,633.28 and 233,669.86

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Solution

The fourth proportional to 414,955.75, 572,633.28 and 233,669.86 is: 322,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,955.75 : 572,633.28 = 233,669.86 : x
  2. Step 2: Convert to fraction form
    414,955.75/572,633.28 = 233,669.86/x
  3. Step 3: Cross multiply
    414,955.75x = 572,633.28 × 233,669.86
  4. Step 4: Simplify right side
    414,955.75x = 133,807,138,368.94
  5. Step 5: Solve for x
    x = 133,807,138,368.94/414,955.75
  6. Step 6: Final answer
    x = 322,461.22

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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.