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Finding the Fourth Proportional to 426,046.44, 590,429.55 and 420,033

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Solution

The fourth proportional to 426,046.44, 590,429.55 and 420,033 is: 582,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,046.44 : 590,429.55 = 420,033 : x
  2. Step 2: Convert to fraction form
    426,046.44/590,429.55 = 420,033/x
  3. Step 3: Cross multiply
    426,046.44x = 590,429.55 × 420,033
  4. Step 4: Simplify right side
    426,046.44x = 247,999,895,175.15
  5. Step 5: Solve for x
    x = 247,999,895,175.15/426,046.44
  6. Step 6: Final answer
    x = 582,095.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.