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Finding the Fourth Proportional to 414,501.26, 572,011.72 and 235,653.26

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Solution

The fourth proportional to 414,501.26, 572,011.72 and 235,653.26 is: 325,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,501.26 : 572,011.72 = 235,653.26 : x
  2. Step 2: Convert to fraction form
    414,501.26/572,011.72 = 235,653.26/x
  3. Step 3: Cross multiply
    414,501.26x = 572,011.72 × 235,653.26
  4. Step 4: Simplify right side
    414,501.26x = 134,796,426,576.21
  5. Step 5: Solve for x
    x = 134,796,426,576.21/414,501.26
  6. Step 6: Final answer
    x = 325,201.49

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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.