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Finding the Fourth Proportional to 414,547.44, 572,062.44 and 233,269.68

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Solution

The fourth proportional to 414,547.44, 572,062.44 and 233,269.68 is: 321,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,547.44 : 572,062.44 = 233,269.68 : x
  2. Step 2: Convert to fraction form
    414,547.44/572,062.44 = 233,269.68/x
  3. Step 3: Cross multiply
    414,547.44x = 572,062.44 × 233,269.68
  4. Step 4: Simplify right side
    414,547.44x = 133,444,822,318.82
  5. Step 5: Solve for x
    x = 133,444,822,318.82/414,547.44
  6. Step 6: Final answer
    x = 321,904.83

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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.