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Finding the Fourth Proportional to 414,528, 572,048.64 and 226,112

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Solution

The fourth proportional to 414,528, 572,048.64 and 226,112 is: 312,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,528 : 572,048.64 = 226,112 : x
  2. Step 2: Convert to fraction form
    414,528/572,048.64 = 226,112/x
  3. Step 3: Cross multiply
    414,528x = 572,048.64 × 226,112
  4. Step 4: Simplify right side
    414,528x = 129,347,062,087.68
  5. Step 5: Solve for x
    x = 129,347,062,087.68/414,528
  6. Step 6: Final answer
    x = 312,034.56

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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.