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Finding the Fourth Proportional to 503,178.12, 694,673.46 and 333,642.60

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Solution

The fourth proportional to 503,178.12, 694,673.46 and 333,642.60 is: 460,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,178.12 : 694,673.46 = 333,642.60 : x
  2. Step 2: Convert to fraction form
    503,178.12/694,673.46 = 333,642.60/x
  3. Step 3: Cross multiply
    503,178.12x = 694,673.46 × 333,642.60
  4. Step 4: Simplify right side
    503,178.12x = 231,772,659,345.40
  5. Step 5: Solve for x
    x = 231,772,659,345.40/503,178.12
  6. Step 6: Final answer
    x = 460,617.52

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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.