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Finding the Fourth Proportional to 416,580.94, 574,880.82 and 225,593.74

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Solution

The fourth proportional to 416,580.94, 574,880.82 and 225,593.74 is: 311,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,580.94 : 574,880.82 = 225,593.74 : x
  2. Step 2: Convert to fraction form
    416,580.94/574,880.82 = 225,593.74/x
  3. Step 3: Cross multiply
    416,580.94x = 574,880.82 × 225,593.74
  4. Step 4: Simplify right side
    416,580.94x = 129,689,514,238.07
  5. Step 5: Solve for x
    x = 129,689,514,238.07/416,580.94
  6. Step 6: Final answer
    x = 311,318.89

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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.