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Finding the Fourth Proportional to 414,906, 572,536.24 and 233,559.96

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Solution

The fourth proportional to 414,906, 572,536.24 and 233,559.96 is: 322,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,906 : 572,536.24 = 233,559.96 : x
  2. Step 2: Convert to fraction form
    414,906/572,536.24 = 233,559.96/x
  3. Step 3: Cross multiply
    414,906x = 572,536.24 × 233,559.96
  4. Step 4: Simplify right side
    414,906x = 133,721,541,312.95
  5. Step 5: Solve for x
    x = 133,721,541,312.95/414,906
  6. Step 6: Final answer
    x = 322,293.58

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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.