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Finding the Fourth Proportional to 582,394.25, 803,580.08 and 340,629.64

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Solution

The fourth proportional to 582,394.25, 803,580.08 and 340,629.64 is: 469,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,394.25 : 803,580.08 = 340,629.64 : x
  2. Step 2: Convert to fraction form
    582,394.25/803,580.08 = 340,629.64/x
  3. Step 3: Cross multiply
    582,394.25x = 803,580.08 × 340,629.64
  4. Step 4: Simplify right side
    582,394.25x = 273,723,189,649.47
  5. Step 5: Solve for x
    x = 273,723,189,649.47/582,394.25
  6. Step 6: Final answer
    x = 469,996.38

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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.