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Finding the Fourth Proportional to 702,580.82, 969,743.20 and 458,174.82

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Solution

The fourth proportional to 702,580.82, 969,743.20 and 458,174.82 is: 632,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,580.82 : 969,743.20 = 458,174.82 : x
  2. Step 2: Convert to fraction form
    702,580.82/969,743.20 = 458,174.82/x
  3. Step 3: Cross multiply
    702,580.82x = 969,743.20 × 458,174.82
  4. Step 4: Simplify right side
    702,580.82x = 444,311,916,106.22
  5. Step 5: Solve for x
    x = 444,311,916,106.22/702,580.82
  6. Step 6: Final answer
    x = 632,399.72

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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.