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Finding the Fourth Proportional to 414,756.59, 572,357.74 and 233,467.96

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Solution

The fourth proportional to 414,756.59, 572,357.74 and 233,467.96 is: 322,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,756.59 : 572,357.74 = 233,467.96 : x
  2. Step 2: Convert to fraction form
    414,756.59/572,357.74 = 233,467.96/x
  3. Step 3: Cross multiply
    414,756.59x = 572,357.74 × 233,467.96
  4. Step 4: Simplify right side
    414,756.59x = 133,627,193,948.01
  5. Step 5: Solve for x
    x = 133,627,193,948.01/414,756.59
  6. Step 6: Final answer
    x = 322,182.21

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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.